The scheduled commuting time on the Long Island Railroad from Glen Cove to New York City is 65 minutes. Suppose that the actual commuting time is uniformly distributed between 64 and 74 minutes. What is the probability that the commuting time will be a. Less than 70 minutes? b. Between 65 and 70 minutes? c. Greater than 65 minutes? d. What are the mean and standard deviation of the commuting time?

Answers

Answer 1

Answer:

A) P(Y<70) = 0.6 or 60%

B) P(65<Y<70) = 0.5 or 50%

C) P(Y>65) = 0.9 or 90%

D) Mean = 69 minutes

SD =  σ = 2.88 minutes

Explanation:

Solution:

let Y is the commuting time between Long Island Railroad from Glen Clove to New York City.

Then,

f ( y) = [tex]\frac{1}{74-64}[/tex] as, it is uniformly distributed between 64 and 74.

f (y) = 1/10

now, we have  a function so, probability can be found out by the use of integration.

a) P (Y < 70 ) = [tex]\int\limits^a_b {1/10} \, dy[/tex]  where, a = 70 and b = 64

by solving this integration, we will get:

P(Y<70) = [tex]\frac{70-64}{10}[/tex] = 0.6

P(Y<70) = 0.6 or 60%

b) P(65<Y<70)  = again this can be solved similarly as above, but here a = 70 and b = 65

P(65<Y<70) = [tex]\int\limits^a_b {1/10} \, dy[/tex]

P(65<Y<70) = [tex]\frac{70-65}{10}[/tex] = 0.5

P(65<Y<70) = 0.5 or 50%

c) P(Y>65) = again, this can be solved similarly but here a = 74 and b = 65

P(Y>65) = [tex]\int\limits^a_b {1/10} \, dy[/tex]

P(Y>65) = [tex]\frac{74-65}{10}[/tex] = 0.9

P(Y>65) = 0.9 or 90%

d) Now, we have to calculate the mean and standard deviation of the commuting time.

So,

Mean = [tex]\frac{a + b}{2}[/tex]

Mean = [tex]\frac{64 + 74}{2}[/tex]

Mean = 69 minutes

Now, for standard deviation:

SD = σ = [tex]\sqrt{\frac{(74-64)^{2} }{12} }[/tex]

SD =  σ = 2.88 minutes


Related Questions

You are trying to figure out the most cost effective way to paint scooters that you make. You can lease an automated
machine for $2,600 per month that will paint 4,000 scooters per month. You can also hire six painters at $23 per hour who can also paint
4,000 scooters per month if they work 160 hours per month. Which is more cost effective?
a) The painters
b) The machine
c) Can't tell

Answers

Answer:

b) The machine

Explanation:

The most cost-effective option will be the less expensive option.

The cost of the machine is $2,600

The cost of the painters will

The cost per hour for six painters is $23

The cost for 160 hours will be

=$23 x 160

=$3,680

The machine is more cost-efficient

Which of the following tools might an HR manager use to most effectively
manage employees living in other countries?
O A. Notes from company meetings that the HR manager can mail to
remote employees
B. Online documents that can be shared and edited at any time by
employees
C. Paper documents that the employee and HR manager can fax to
one another
D. Conference calls between HR managers and employees outside
working hours

Answers

The  tools that an HR manager might use to most effectively manage employees living in other countries is: D. Conference calls between HR managers and employees outside working hours.

Who is an HR manager?

An HR manager can be defined as the person whose sole responsibility is to recruit or hire employee for the company as well as to ensure that the welfare of the employee among others are well taking care of.

On the other hand a conference call  is a  telephone call in which made it possible for  several people to connect or participate at the same time, by making use of  a speakerphone or a computer with internet access.

Conference call tend to allows multiple participants in different locations to communicate with one another simultaneously.

Therefore the correct option is D.

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Financial information is presented below: Operating Expenses $50,000 Sales Returns & Allowances $13,000 Sales Discount $6,000 Sales $138,000 Cost of Goods Sold $57,000 Gross profit would be _______? (Note: Input your response as a whole number without using the "$" sign or commas (i.E. 25,000 should be entered as 25000).)

Answers

Answer:

the gross profit is 62000

Explanation:

The computation of the gross profit would be shown below:

Gross Profit = Net Sale - Cost of Goods Sold

= (Sales revenue - Sales discounts - Sales returns and allowances) - Cost of Goods Sold

= ($138,000 - $6,000  $13,000) - $57,000

= 62000

Hence, the gross profit is 62000

We simply applied the above formula so that the correct value could come

As long as you have great service, it doesn’t really matter what the exterior of the building looks like.

true or false

Answers

Answer:

false

Explanation:

The look of the exterior of a house does matter because it is what someone first sees when looking at the building so it does matter a lot actually.

Good day to you!

Once you graduate from a college or university, you have to pay a fee to take advantage of their career services. False True

Answers

Answer:

False

Explanation:

After graduating from a college or university you belong to their Alumni therefore, their career services or commonly known as placement or career center always support you through the journey until you land your job for no fee.

Expanding a brand is a common way for a business to do which of the following?

Leverage its brand equity to promote growth

Distract its competitors

Become more acquainted with its customer base

Test its position in the market

Answers

Answer:

Leverage its brand equity to promote growth is answer.

Explanation:

I hope it's helpful!

Which of these is a reason why a company may want to recruit internally? A Better chance of fresh ideas o B. Broader experience within the industry c. Familiarity with the company mission D. Saving money on salaries​

Answers

Answer:

C. Familiarity with the company mission.

Explanation:

As a corporate director, I tend to seek talent within our organization for this very reason. Long term team members whom plan on growing with our organization are, at times, best suited for roles above their current level due to their loyalty and familiarity with the company mission. Promoting within gives great culture to a company and adds to overall moral.

How much do you think BSBA financial management graduates earn?​

Answers

Answer:

Human resources: $110,120

Advertising and marketing: $129,380

Computer systems: $139,220

Training: $108,250

Explanation:

The following is a list with the median business administration salary of occupations for graduates with a bachelor's degree: Financial analysts: $84,300.

Market research analysts: $63,230. Sales managers: $121,060.

What is meant by post script?​

Answers

Answer:

An additional remark at the end of a letter, after the signature and introduced by “P.S.”.

Hope this helps :)

Josefa left school at 3.20pm and reached home at 4.00pm .how much time did he take to reach home? A.20 minutes. B.40 minutes. C.30 minutes. D.80 minutes. ​

Answers

d. he took 40 minutes to reach home. 3:20 (+40 minutes) -> 4:00. 20 + 40 = 60 (60 mins are in 1 hour)
The answer is B. 40 minutes

What is the most likely reason an HR manager would seek to adjust the
income for an American working abroad?
A. The employee will need higher pay to adjust to the new social
environment.
B. The cost of living in that country is different from that of the
employee's home.
C. The local norms in the new country are different regarding pay.
D. The laws in the new country allow older workers to be paid less.

Answers

Answer:

B. the cost of living in that country is different from that of the employee's home

Explanation:

Answer:

B

Explanation:

A p e x

HURRY PLEASE 25 POINTS WILL GIVE BRAINLIEST
In three to five sentences, describe what a cold call is and how to prepare for one.

Answers

Answer: Cold calling (sometimes written with a hyphen) is the solicitation of a potential customer who had no prior interaction with a salesperson. A form of telemarketing, cold calling is one of the oldest and most common forms of marketing for salespeople.

Start off by saying “Hi, [NAME],” in a warm and welcoming tone, then proceed directly to Step 2. Notice I didn't say, “Hi, [NAME], how are you today?” because it gives your prospect a chance to jump in and disrupt your flow. Cold calls are all about taking control in the beginning. Identify yourself.

Explanation:

Answer:

Cold calling (sometimes written with a hyphen) is the solicitation of a potential customer who had no prior interaction with a salesperson. Start off by saying “Hi, jack,” in a warm and welcoming tone, then proceed directly to Step 2. Notice I didn't say, “Hi, jack, how are you today?” because it gives your prospect a chance to jump in and disrupt your flow. cold calling is one of the oldest and most common forms of marketing for salespeople.

Explanation:

the ambitous jackle

During a presentation, a prospect says, "I like the product, but I won't buy
unless it comes with free delivery and installation." What would be the most
effective technique for answering this objection?
A. Try to meet the condition or find a way to make the deal agreeable
without it
B. Treat this objection as an unexpected and unnatural part of the
selling process
C. Try to improve the selling process
D. Provide the information that the prospect seems to be missing

Answers

Answer:

I believe the best and most correct answer is A.)

Explanation:

The most effective technique for answering this objection is Try to meet the condition or find a way to make the deal agreeable without it Option(A) is correct.

What is a Presentation?

A Presentation passes data from a speaker on to a crowd of people. Presentations are regularly showings, presentation, talk, or discourse intended to illuminate, convince, rouse, inspire, assemble altruism.

Presentations normally require arrangement, association, occasion arranging, composing, utilization of visual guides, managing pressure, and responding to questions. "The critical components of a presentation comprises of moderator, crowd, message, response and technique to convey discourse for hierarchical outcome in a compelling way.

Presentations are broadly utilized in tertiary work settings, for example, bookkeepers giving a point by point report of an organization's financials or a business person testing out their endeavor thought to financial backers.

Therefore Option(A) is correct.

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c. Why do we need education and training? Write reasons


Answers

Answer:

Education

1. So people can learn from their mistakes

2. So you can get a good job

3. So you know what is the history of well, you.

4. So you learn to grow and change.

5. So your mentor can get the money

6. So you learn hard work pays off.

7. You can learn how to fight against injustices

Training

1. So you can learn from your mistakes

2. Help your community

3. So you can help bring justice and peace to your country

4. So you have a sense of action

5. So you don't become lazy

6. So you learn hard work pays off.

7. You will get a lot of respect

Explanation:

knowledge is power without proper knowledge your potential is lower the same goes for the training we train in a specific profession if were lacking skill we train to gain experience and to be proficient in that specific skills. We live in the generation which knowledge is important and it is essential that we must have in order to be able to cope in our everyday lifestyle. There are two types of education the first we learn it in the school the second is we obtain it outside of the school. Without knowledge we don't know a thing and without the training were lacking in experience.

Insurance sales, tax preparation, personal financial advising, and investment fund management are careers in which workers can be self-employed. Which careers have the highest and lowest self-employment rates?
1.Insurance sales has the highest rates, and tax preparation has the lowest rates.
2.Personal financial advising has the highest rates, and investment fund management has the lowest rates.
3.Investment fund management has the highest rates, and insurance sales has the lowest rates.
4.Tax preparation has the highest rates, and personal financial advising has the lowest rates.

Answers

Answer:

A: insurance sales has the highest rates, and tax preparation has the lowest rates.

Explanation:

it was 5 stars on the other question

Answer: A

Explanation: Insurance sales has the highest rates, and tax preparation has the lowest rates.

A = P + I where
P (principal) = $ 10,000.00
I (interest) = $ 3,366.37

Answers

Answer:

A = $ 13,366.37

Explanation:

First, convert R percent to r a decimal

r = R/100

r = 3.875%/100

r = 0.03875 per year,

Then, solve an equation for A  like this:

A = P(1 + r/n)nt

A = 10,000.00(1 + 0.003229167/12)(12)(7.5)

A = $ 13,366.37

Summary:

P + I = $ 13,366.37

4.What is a broadcast? What pathway do you find this in?

Answers

Answer:

Broadcasting is the distribution of audio or video content to a dispersed audience via any electronic mass communications medium, but typically one using the electromagnetic spectrum (radio waves), in a one-to-many model. The journalism and broadcasting pathway includes workers who research, write or produce news stories or broadcasts, or present commentaries. Workers also include those involved in publishing and writing. Includes occupations that install, repair and operate digital or electronic equipment used to record and transmit radio or television programs and motion pictures.

Explanation:

I hope this helps u! :D

Whitney made $45,000 at her job last year. This was her gross income. She then subtracted her deductions and her new total came to $41,435. What does this new total represent? a standard deduction an itemized deduction an earned income credit an adjusted gross income

Answers

Answer:

Adjusted gross income

Explanation:

GROSS INCOME is the total amount a person or an individual earned in a year before a certain deduction is made, therefore Based on the information given the new Total will represent her AGI which is fully know as ADJUSTED GROSS INCOME which occured in a situation where a certain amount of money is deducted from an individual GROSS INCOME such as tax payment or expenses which in turn will lead to the gross income to have a lesser amount after the deduction which is what is called ADJUSTED GROSS INCOME.

Answer:

An Adjusted gross income

Explanation:

Got it right on the test.

With what kind of vocabulary should a person be familiar for reading the balance sheet of a restaurant easily?
A.
the names of all the items on the restaurant menu
B.
finance-related words such as depreciation, capital expenditure, etc.
C.
restaurant-related terms such as banquet, buffet, etc.
D.
marketing terms such as product lifestyle, customer lifetime value, etc.
E.
advertising terms, such as brainstorming, captions, etc.

Answers

Answer:

Explanation:

For all Plato users.

Finance-related words such as depreciation, capital expenditure, etc. kind of vocabulary should a person be familiar for reading the balance sheet of a restaurant easily. Thus, option (a) is correct.

What is a balance sheet?

A balance sheet is a financial statement that lists an organization's assets, liabilities, and shareholder equity. One of the three important financial statements a company's evaluation will focus on is the balance sheet. It was the obligations using its current assets.

The terms depreciation, capital outlay, liabilities, assets as well as equity, and revenue should all be understood by someone who works in finance. A person can comprehend the data in a restaurant's balance sheet and make decisions about the restaurant's financial health with the aid of these finance-related terms if they are familiar with them.

As a result, the significance of the kind of vocabulary should a person be familiar for reading the balance sheet of a restaurant easily are the aforementioned.

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An economic system that allows indivduals to pursue their own interests without undue
governmental restriction is known as what?
a. private enterprise
b. resources
c. auditory
d. stock market

Answers

Answer:

a. private enterprise

Explanation:

Economics systems can be categorized as;

Command or planned economic systemsMixed economiesMarket or free enterprise economies

The market or free enterprise economy is also the private enterprise economy. This economic system has the private sector as the primary producers of goods and services. The government does not interfere with economic activities.

In the private enterprise economy, private firms and individuals have the freedom to start and operate a business of their preferences. The government does not regulate the production, distribution, or prices of products. The private sector engages in business activities that will generate maximum profits for them.

Claire wants to introduce an electric vegetable chopper that can also work on hand-gesture commands. She wants to demonstrate the product to her target audience. Which sales channel should she use to demonstrate her product? Claire should use a ___ sales channel to demonstrate her product.​

Answers

Answer:

direct channel (or producer to consumer)

Explanation:

This channel is appropriate when a producer is trying to introduce an innovative product or service and wants to reach a large audience. The best way a manufacturer or producer can sell its products or services directly to consumer is through internet sales.

Answer:

I put retail sales channel

Explanation:

(Yeah ik this is very late) I don't even know if that's right lol

In a few sentences, explain what it means to be
financially responsible.

Answers

Financially responsible means to be prepared for something unexpectedly like u didn’t know was coming up or was gonna happen and it mean you need be able to support yourself with any source of income.

Answer:

Being financially responsible means you are earning more than you are spending. You should also create a budget to track income and expenses, and do what you can to always pay bills on time.

Question 8 of 20 Which of the following reasons for writing a formal business document would lead you to write a proposal?
A. To tell your manager a project is on budget and on schedule
B. To summarize what happened during a meeting
C. To convince your manager to use a new meeting organization tool
D. To describe what tasks you completed during the week​

Answers

Answer: i say A

Explanation:

Answer:

cc just did it

Explanation:

Leron is in high school and is interested in the Logistician career. Which accurately lists the most likely pathway that Leron will take? certification high school diploma O high school diploma O high school diploma O high school diploma associate's degree licensure bachelor's degree master's degree - internship​

Answers

Answer:

b

Explanation:

I got a 100 on the test

Why is a self-assessment important?
the correct answer is you can use it to organize your interest and experience

Answers

Huh? Did you need help on it or not?

Kaydee Young had an open-end lease for a station wagon for the senior center. The lease cost $239 per month for 48 months. She paid a deposit of $550, a title fee of $65, and a license fee of $120. At the end of the lease, she can buy the station wagon for its residual value of $8,860. a. What is the total lease cost? b. What is the total cost if she buys the car?

Answers

The total lease cost is the sum of the total amount of payments, the deposit, the title fee and the license fee.
a) 14,352
B)15,224

The ability to understand and value a wide variety of people, including persons of both sexes and different ages, races, income groups, and nationalities, is a an example of a _____ skill

A. Conceptual
B. Functional
C. Human Relations
D. Technical

Answers

Answer: Human relations C

Explanation:

The ability to understand and value a wide variety of people, including persons of both sexes and different ages, races, income groups, and nationalities, is an example of a Human Relations skill. Thus option C is correct.

What is a Human Relations skill?

Human relations abilities are the ability to relate to others in a positive way so that you can productively participate and accomplish shared objectives. It supports establishing and preserving healthy and balanced interactions at work.

The development and maintenance of great workplace culture, employee retention, and productivity stimulation all depend on good human relations.

The success of a firm is influenced by how well its employees get along with one another, and human relations skills are useful in managing and directing these interactions.

These skills have the capacity to appreciate and comprehend a diverse range of people, including those of both sexes and from a variety of age groups, races, socioeconomic classes, and cultures.

Therefore, option C is appropriate.

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Which of the following is a style trend?
A. An increase in the population of young parents in a neighborhood
B. The popularity of a new type of jeans
C. An increased concern for protecting the environment
D. The popularity of cell phones that can access the Internet

Answers

Answer:
B

Explanation:

Principal Rate Time Interest Amount $ 720.00 6.00% 5 years a. $216.00 b. $936.00 720.00 6.00 5 months a. $18.00 b. $738.00 720.00 6.00 5 days b. 5,892.15 6.875 15 months b. 26,968.44 3.459 91 days b.​

Answers

Answer:

1- $216

2- $18

3- $0.59

4- $54

5- $10.77

Explanation:

1- If the investment lasts 5 years, with an interest of 6% and a principal of $ 720,00, the interest generated at the end of said investment arises from the following calculation:

(720 x 0.06) x 5 = X

43,20 x 5 = X

216 = X

Therefore, after 5 years of investment, they will have earned $ 216 in interest.

2- If the investment lasts 5 months, with an interest of 6% and a principal of $ 720, the interest generated at the end of said investment arises from the following calculation:

(720 x 0.06) / 12) x 5 = X

43.20 / 12 x 5 = X

3.6 x 5 = X

18 = X

Therefore, after 5 months of investment, they will have earned $ 18 in interest.

3- If the investment lasts 5 days, with an interest of 6% and a principal of $ 720, the interest generated at the end of said investment arises from the following calculation:

(720 x 0.06) / 365) x 5 = X

43.20 / 365 x 5 = X

0.118 x 5 = X

0.59 = X

Therefore, after 5 days of investment, $ 0.59 in interest will have been earned.

4- If the investment lasts 15 months, with an interest of 6% and a principal of $ 720, the interest generated at the end of said investment arises from the following calculation:

(720 x 0.06) / 12) x 15 = X

43.20 / 12 x 15 = X

3.6 x 15 = X

54 = X

Therefore, after 15 months of investment, they will have earned $ 54 in interest.

5- If the investment lasts 91 days, with an interest of 6% and a principal of $ 720, the interest generated at the end of said investment arises from the following calculation:

(720 x 0.06) / 365) x 91 = X

43.20 / 365 x 91 = X

0.118 x 91 = X

10.77 = X

Therefore, after 91 days of investment, you will have earned $ 10.77 in interest.

which is better Financial manager or accountant?​

Answers

Answer:

Financial manager is better

Explanation:

A financial manager is a position that is higher than an accountant, even when many financial managers are accountants themselves.

Usually, financial managers are in charge of the finances of a whole department of an organization, while accountants (the job position, not the profession) usually have less responsability.

For these reasons, financial managers tend to earn more, and face more challeging professional work.

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