A recent report indicated that 22 percent of the households in a certain community speak a language other than English at home. A reporter will randomly select a household from the community until the first household that speaks a language other than English at home is selected. Let random variable Q represent the number of attempts needed until the first household that speaks a language other than English at home is selected. The random variable Q has a geometric distribution with p=0.22. Which of the following is closest to the variance of the random variable?
(A) 0.0484
(B) 2.5454
(C) 4.5455
(D) 4.0144
(E) 16.1157

Answers

Answer 1

Answer:

(E) 16.1157

Step-by-step explanation:

Q has geometric distribution with p = 0.22

"Variance of Q" V(Q) = 1 - p / p²

V(Q) = 1 - 0.22 / 0.22²

V(Q) = 0.78 / 0.0484

V(Q) = 16.11570247933884

V(Q) = 16.1157

So, the Variance of random variable Q is 16.1157

Answer 2

This question is based on the variance. Hence, the correct option is D i.e. 16.1157 is closest to the variance of the random variable.

Given:

Community speak a language other than English at home  = 22 percent

Let random variable Q represent the number of attempts needed.

The random variable Q has a geometric distribution with p=0.22.

We need to determined the closest to the variance of random variable.

As we know that,

Q has a geometric distribution with p=0.22

Now calculate the variance of Q,

[tex]V(Q)=\dfrac{1-p}{p^{2} }[/tex]

[tex]V(Q)=\dfrac{1-0.22}{0.22^{2} }[/tex]

[tex]V(Q)=\dfrac{0.78}{0.484} }[/tex]

Therefore, the variance  V(Q) is 16.1157.

Hence, the correct option is D i.e. 16.1157 is closest to the variance of the random variable.

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Related Questions

Identify a, b, and c in this equation.
3x (squared) + 4x + 2 = 0
Please hurry!

Answers

Answer:

A is 3 B is 4 and C is 2

Step-by-step explanation:

this is most likely right unless your usong a diffrent formula

Rounded to the nearest tenth of a cubic foot, what is
the volume of the robot's body?
You are taking a vocational course in night school. The
group you belong to is building a robot made of tin.
Your task is to build the cylindrical body of the robot.
The cylindrical body must have a height of 2 feet and a
radius equal to 1 of the body's height.
00.4
1.6
O 3.1
6.3
9.9

Answers

Answer:

the answer is 3.1

Step-by-step explanation:

Write the decimal 0.00383 in words

Answers

Answer:

point zero zero three eight three

Answer: three thousandths

Step-by-step explanation:

hope this helped

Bi-weekly mortgage is $576. Monthly phone charges are $44.95. The electric bill last month was $105.88. Groceries cost about $98/week. What is a good estimate of your monthly expenses?

$1,401.00

$1,127.00

$1,703.00

$827.00

Answers

Answer:

2nd one...............

Answer:

1,127.00

Step-by-step explanation:

The total cost overall is 1,118.83. However you can round and estimate it to 1,127.00

GIVING 25 POINTS PLS HELP

Answers

Boston, Milwaukee, Denver and Louisville


Hope this helps you

Answer:

ok lol

Step-by-step explanation:

1. A family eats at a restaurant. The bill is $42. They have a coupon that gives them 15% off
their meal. The family then leaves a 20% tip.
a. How much did the family spend on the meal after the coupon?
b. How much did the family spend on the meal in total?

Answers

a.Solution:

[tex]42 - 42 \times 15\%[/tex]

[tex] =42 - 42 \times \frac{15}{100} [/tex]

[tex] =42 - 21 \times \frac{15}{50} [/tex]

[tex] =42 - \frac{315}{50} [/tex]

[tex] = 42 - 6 \: \frac{15}{50} [/tex]

[tex] = 41 \: \frac{50}{50} - 6 \: \frac{15}{50} [/tex]

[tex] = 35 \: \frac{35}{50} [/tex]

[tex] = 35.70[/tex]

Answer:

The family did spend $35.70 on the meal after the coupon

b.Solution:

[tex]35.70 + 42 \times 20\%[/tex]

[tex] = 35.70 + 42 \times 0.2[/tex]

[tex] = 35.70 + 8.4[/tex]

[tex] = 44.10[/tex]

Answer:

The family did spend $44.10 on the meal in total.

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Help nowwwwwww plssss!!!

Answers

try 2. two can be in both of those.

What is the definition of Budget Matrix?

Answers

Step-by-step explanation:

Matrix budgeting is a model developed to evaluate where your additional money goes or should go, and it helps to manage personal finances. Also called as a budget matrix, it's a plan or a blueprint in chart or table form designed to allocate financial resources in the ranking order of your goals and priorities.

A swimming pool containing 2000l of water is 1/16 full. How many litres of water is required to make the pool half full

Answers

Answer: 16,000 litres

Step-by-step explanation:

1/16 of the pool is 2000l

8/16 full is 1/2 of the pool full

1/16 = 2000

8/16 = x

Cross multiply

1/16x = 2000 × 8/16

1/16x = 1000

Multiply both sides by 16

x = 16000

To make the pool half full, 16,000 litres is required.

16000 liters of water is required to make the pool half full.

What is Proportion?

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as p: q : : r : s.

This is same as p : q = r : s or p/q = r/s

Given that,

A swimming pool containing 2000l of water is 1/16 full.

We have to calculate the amount of water required to make the pool half full.

Let x be the liter of water required to make the pool half full.

Using proportional concept,

2000 : 1/16 = x : 1/2

This can be written as,

2000 / (1/16) = x / (1/2)

2000 × 16 = 2 x

x = (2000 × 16) / 2

x = 16000

Hence it would require 16000 liters of water to make half full pool.

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Can Somebody please help me?​

Answers

I think it’s 3 out of 5

Because 20-8 is 12
12 is the number of beans that is not blue
12/20 simply to 3/5
Hope it helps
The answer would be b- 3 out of 5.

Explanation- Since 8 of the beans are blue, 12 of them are not. Since 60% of the beans are not blue, that can be changed to the fraction of 6/10 which can be reduced to 3/5

simplify the expression x(2y + z - 7)

Answers

Answer:

2xy+xz-7x

Step-by-step explanation:

Answer:

2yx + xz - 7x

Step-by-step explanation:

x(2y + z - 7)

distribute

(x * 2y) + (x * z) + (x * -7)

2yx + (x * z) + (x * -7)

2yx + xz + (x * -7)

2yx + xz + -7x

2yx + xz - 7x

Need help :) will give brainless ⭐️!!

Answers

Answer:

The answer is B.

Step-by-step explanation:

Counted 8 down and 5 to the right.

First person to answer will get 100 points & Brainliest!

Answers

Answer:

heyyyyyy

Step-by-step explanation:

need help thanks in advance

Answers

Answer:

Period = pi

Angular frequency = 2

Amplitude = 5

Midline is the line y = 3

Step-by-step explanation:

A sinusoidal wave is written in the general form as:

f(x) = A*cos(w*x) + C

Where:

- A is the amplitude.

- w is the angular frequency, this is equal to 2*pi/T

  where T is the period.

- y = C is the midline.

Then in the equation:

f(x) = 5*cos(2*x) + 3

- 5 is the amplitude.

- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)

- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:

2 = 2*pi/T

T = 2*pi/2 = pi

pi is the period.

- y = 3 is the midline.

Can someone please help me

Answers

Answer:

no nononononmonno

Step-by-step explanation:

jahgajahahahhahahahahhavdbsvfbsbdvdv

I need to find the equation of the graphed line. ​

Answers

Answer:

y=-x-7

Step-by-step explanation:

So the line goes down one unit for every unit it goes to the left.

Slope is rise over run which would be -1/1 (simplify to -1)

The line crosses the y axis at -7

So to put it in slope-intercept form (y=mx+b) it would be y=-1x-7

You don't have to include the one in -1x because its the same as saying -x

Answer: 20-w33

Step-by-step explanation:

So easy yaar! SO. EASY!

Just find the slope by connecting the megapixel by the hardrive!

Then calculate the cheese fromage from the stroop waffle, simply add the chemistry hypothecary theory, and your're set!

Don't forget to comma the C's and capitalize the G's!

Elisa takes a maximum of 6 guitar lessons each month. She is required to rent a guitar for a one-time rental fee of $20 and each lesson costs $45. If Elisa takes x lessons, the total cost of guitar lessons she takes in a month can be represented by the function f (x)= 20 + 45x. What is the range of the function?​

Answers

Answer:

21t

Step-by-step explanation:

What‘s 1+1? ;);) have a good day :)

Answers

Answer: 2 :))

Step-by-step explanation: hope you also have a good day!!

Answer:

the correct answer would be 2

Step-by-step explanation:

have a good day also

Lets see whos smart

100 + 50 × 10 =

Answers

Answer:

600

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

100 + 50 × 10

Step 2: Evaluate

Multiply:                    100 + 500Add:                          600
600 is the answer lol

The table shows the party affiliation of a 100 senators 109th congress the ratio of Republicans to Democrats 5:4 how many senators are Democrats? independents?

55 Republicans

Answers

Answer:

45 democrats

Step-by-step explanation:

if there are 55 Republicans

100-55= 45

your question was worded weirdly so I tried my best

hope it helps :)

As per the table the party affiliation of 100 senators then the independents is 1.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the provided by question,

55 republicans in ratio 5:4 so,

55/5

=11

11x4 = 44

independents = what's left, then

55+44=99

independents = 1

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I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!

Answers

Answer:

15450

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

-3

Step-by-step explanation:

subtract 6 by both sides

then divide by -2

Answer:

-y + 6 = -122y + 6 _ 6 = -12 _ 62y/2 = -6/2y = -3

Step-by-step explanation:

I hope it helps ❤❤

Subtract. (a + 2b) – (3a – b)
4a + 3b

–2a + 3b

–2a + b

4a – b

Answers

Answer:

-2a+3b...............

Answer: -2a + 3b

Step by Step:

(a + 2b) - (3a - b)

a + 2b - 3a + b

-2a + 3b

Can someone help me with this problem

Answers

Answer:

1x

Step-by-step explanation:

One large bucket of popcorn at the theater weighs 17.3 ounces. What is the weight of 20 buckets of popcorn in ounces

Answers

Answer:

346 ounces

Step-by-step explanation:

17.3 times 20

If a = 10, then what is the value of 6a + 15?

Answers

Answer:

75

Step-by-step explanation:

6(10)+15

60+15

Answer:

75

Step-by-step explanation:

Substitution:

6a+15                    (a=10)

6*10+15

60+15

75

A triangular prism, with bases consisting of equilateral triangles of side length s, has height h and a volume of 250. If the surface area of the prism includes the areas of all the sides and the bases, what value of s minimizes the surface area of the prism

Answers

Answer:

10

Step-by-step explanation:

The required value of s to minimize the surface area of the prism is given as 10.

What is a triangular prism?

A triangular prism has 2 triangles as their top and bottom and three other faces as rectangles. The volume of the prism is given as the product of its height and base area.

The given problem can be solved as follows,

The expression for the volume of the prism is given as,

V = √3/4 × s²h

Substitute V = 250 to obtain,

250 = √3/4 × s²h

⇒ s²h = 1000/√3                       (1)

And, the expression for the surface area is given by,

A = 3 × sh +  √3/4s²

Substitute h = 1000/(√3s²) in the above equation to obtain,

A = 1000√3/s + √3/4s²

In order to get the minimum area differentiate A with respect to s and equate it to zero to get,

dA/ds = 0

⇒ √3/2s - 500√3/s² = 0

⇒ s = 10

Hence, in order to minimize the area the the value of s is obtained as 10.

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Your car needs new brakes. You call a dealership and a local mechanic for prices. Cost of parts Labor cost per hour Dealership $24 $99 Local mechanic $45 $89 a. After how many hours are the total costs the same at both places

Answers

Answer:

The indifference point is 2.1 hours.

Step-by-step explanation:

First, we need to calculate the total cost for each option:

Dealership:

Total cost= 24 + 99x

Local mechanic:

Total cost= 45 + 89x

x= number of hours

Now, we need to equal both formulas and isolate x:

24 + 99x = 45 + 89x

10x = 21

x= 2.1

The indifference point is 2.1 hours.

Prove:

Total cost= 24 + 99*2.1= $231.9

Total cost= 45 + 89*2.1= $231.9

What is the percent of decrease from 100 to 68?

Answers

Answer33 percent

Step-by-step explanation:

just subtract 68 from 100

Answer:

32

Step-by-step explanation:

100-68 =32 hope this will help u

Solve the equation
18t + 11v = w – 13t for t.

Answers

Step-by-step explanation:

[tex]18t \: + 11v = w - 13t[/tex]

[tex]18t + 13t = w - 11v[/tex]

[tex]31t \: = w = - 11v[/tex]

[tex]t \: = \frac{w - 11v}{31} \\ [/tex]

The answer is above☝️☝️☝️
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