A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore.
x 0 1 2 3 4 or more
% 43% 35% 15% 6% 1%
(a) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Enter a number. Round your answer to two decimal places.
(b) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Enter a number. Round your answer to two decimal places.)
(c) Compute μ, the expected value of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to two decimal places.)
μ = fish
(d) Compute σ, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to three decimal places.)
σ = fish

Answers

Answer 1

Answer:

a. 0.57

b. 0.22

c. 0.87

d. 0.9450

Step-by-step explanation:

A.

P(X>=1)

= 0.35 + 0.15 + 0.06 + 0.01

= 0.57

This is the probability of catching one or more fishes.

b.

P(X>=2)

0.15 + 0.06 + 0.01

= 0.22

This is the probability of catching 2 or more fishes.

C.

Compute μ

μ = E(X)

= (0x0.43) + (1x0.35) + (2x0.15) + (3x0.06) + (4x0.01)

= 0+0.35+0.3+0.18+0.04

= 0.87

D.

The standard deviation

Sd = √V(X)

V(X) = E(X²) - (E(X))²

E(X²) = (0²x0.43)+(1²x0.35)+(2²*0.15)+(3²*0.06)+(4²*0.01)

E(X²) = 0.35+0.6+0.54+0.16

= 1.65

V(X) = 1.65 - (0.87)²

= 1.65 - 0.7569

= 0.8931

Sd = √0.8931

= 0.9450


Related Questions

A superintendent of a school district wants to understand the link between attendance and grade point average, or GPA. The GPA is out of 4.0 points, with 4.0 being the highest possible. The percent attendance and GPA of 10randomly sampled students from the superintendent's district were collected. This sample data is reproduced in the table below. Calculate the correlation coefficient r using a TI-83, TI-83 plus, or TI-84 graphing calculator (round your answer to two decimal places).
"GPA" 3.5 2.38 1.16 3.83 3.28 3.69 3.46 3.87 3.69 3.75
Attendance 91% 74% 80% 97% 59% 78% 90% 98% 94% 87%
r=_______.

Answers

Answer:

0.4136

Step-by-step explanation:

Given the data:

"GPA":

3.5

2.38

1.16

3.83

3.28

3.69

3.46

3.87

3.69

3.75

Attendance

0.91

0.74

0.80

0.97

0.59

0.78

0.90

0.98

0.94

0.87

The value of R (correlation Coefficient) obtained for the two variables GPA and ATTENDANCE is 0.4136. This shows that a fairly weak relationship between the GPA obtained and the attendance of students. Hence, even though a positive relationship exist between the two variables, that is, an increase in one variable yields a corresponding increase in the other and vice versa. The correlation Coefficient value for both values is just fairly strong.

A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2:3. What is the ratio of the number of flour tortillas to the number of tortillas

Answers

Answer: 3:5

Explanation: The ratio of Corn tortillas to flour tortillas is 2:3, so you look at the total number of tortillas (5) and put the number of flour tortillas in front of it (3). Leaving you with 3:5

Answer:

3:5

Step-by-step explanation:

Write an equation to match this graph. i will give brainlyest

Answers

Answer:

5÷7

Step-by-step explanation:

Im guessing this or adfibg

please help me will give brilliant ​

Answers

Given,

Inequality : y-5>2x-10

To find,

Draw the graph.

Solution,

We have,

y-5>2x-10

First we simplify the above inequality.

Taking variables to LHS and constant to RHS.

y-2x>5-10

y-2x>-5

The points are (0,-5) and (3,1).

The attached figure shows the graph for the above equation. So, the correct graph is in option (2).

A bag of popcorn contains 945 calories and serves 7.5 people. How many calories are in each serving?
Please help

Answers

Answer:

126

Step-by-step explanation:

945÷7.5=126

I HOPE IT HELPS!

Was she old enough?

A: Yes
B: Please yes
C: if u don't say yes I'm going to jail please say yes

Answers

D: No she wasn’t old enough

Answer:

what are you talking about

Step-by-step explanation:

NEED HELP ASAP Select the correct answer.
Which Inequality is graphed on the coordinate plane?
Oy? -4r + 2
O y > -x + 2
y = -x + 2
o y <-4+ + 2
d

Answers

Answer:

D: y < -1/4x + 2

Step-by-step explanation:

I just did it on Edmentum

The inequality which is graphed on the coordinate plane is  y > -x + 2, the correct option is B.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

An inequality is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to describe relationships between quantities or to express constraints or conditions.

We are given that;

The graph of inequality

Now,

the graph shows a dashed line with a slope of -1 and a y-intercept of 2, which is the equation y = -x + 2. The dashed line means that the points on the line are not included in the solution set of the inequality. The shaded region above the line means that the points in that region satisfy the inequality.

Therefore, by the inequality the answer will be y > -x + 2.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ7

aaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

Eut

Step-by-step explanation:

fooyyyyyyyyyyyyyddffghhgyfdxdvvrvrvrhntbrvd. vsvd ebe. d dvd

1/2(x+2)+7 = 3x + (-32)


PLEASE HELP AND EXPLAIN

Answers

Answer:

X=16

Step-by-step explanation:

A model maker wants to make a model of a ship. He will use a scale of 1:50. The ship was 100ft long. 1 foot=0.3m

Answers

you are a girl or boy. #/

amy ate 27.5 cookies in 5.5 minutes. How many cookies did she eat per minute?

Answers

Answer:

5 cookies per minute.

Step-by-step explanation:

To do this, we divide 27.5 by 5.5 to get the unit rate, in other words, the amount of cookies eaten per minute. This gets us 5. That means Amy ate 5 cookies per minute.

Answer:

Amy ate 5 cookies per minute

Step-by-step explanation:

Do get the unit rate - the number of cookies per minute - you can divide 27.5/5.5. You then get 5. This means that Amy ate 5 cookies per minute.

Tell Amy to watch her diet...

M<5 = 98 degrees , find m< 4

Answers

Answer:

Step-by-step explanation:

if M<5=98, angle M<4=180-98=82

angles 5 and 1 are equal

angles 8 and 4 are equal

-8x-6 pls holpp :((((

Answers

Answer:

The answer is 48.

Step-by-step explanation:

None.

Express the product of 2x^2 +7x-10 and x+5 in Standard form.

Answers

Answer:

2x^3 + 17x^2 + 25x - 50

Step-by-step explanation:

Claire is going to invest $2,600 and leave it in an account for 18 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Claire to end up with $4,300?

Answers

Answer:

Rate of interest r = 2.83 % (Approx.)

Step-by-step explanation:

Given:

Amount invested p = $2,600

Amount get A = $4,300

Number of year n = 18

Find:

Rate of interest r

Computation:

A = p(1+r)ⁿ

4,300 = 2,600(1+r)¹⁸

(1+r)¹⁸ = 1.653846

Rate of interest r = 2.83 % (Approx.)

Answer: 2.80%

Step-by-step explanation:

Delta Math

Solve this equation for x.

5(1+3x)−9=4(3x−3)

x=−83

x=−19

x=23

x=89

Answers

X= -8/3
or -2 2/3
or -2.6

order dessert
no dessert
split the check
one person pays

Answers

I don't understand, what's the question?

Dave typed the first 8 pages of his report in 24 minutes. At this rate, how long should it take Dave to finish typing the rest of his 60 pages report ?

Answers

Answer

180

Step By Step Explanation

24/8 = 3, 3x60=180


How many fourths are there in 1 3/4?

Answers

Answer:

12 one fourths

Step-by-step explanation:

There 3 × 1 1 / 4 = 3 × 4 = 12 one fourths in 3 .

Answer:

7

Step-by-step explanation:

1 3/4 = (4+3)/4 = 7/4 = 7 fourths

The cost of a ticket to a Circus & Fan Fair show is $69 for adults and $26 for children. On a
certain day, 5 times as many children attend the show than adults, and the total revenue is
$94,908. About how many adults bought tickets?

Answers

Let the number of adults equal x, and the number of children equal 5x.

26(5x) + 69x = 94908

194x = 94908

x = approx. 489

About 489 adults bought tickets.

A total of 489 adults take tickets to the circus & Fan Fair show.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of tickets that adults bought is a and the number of tickets that children bought is c.

Then,

26(5a) + 69c = 94908

194a = 94908

a = 489.21 but we need to take the whole number and practical number so it will be 489.

Hence "A total of 489 adults take tickets to the circus & Fan Fair show".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

Help I need help I have 20 missing assignments

Answers

the answer is 68° because ABD=116° and CBD=48° so 116-48=68

2. PLZZZ help math (O_O)


U don’t have to answer them all but at least answer one question if u answer make sure to member them so I know which one is which.

Answers

Answer:

1) 3

2) 26

3) 50

4) 20

5)20

Step-by-step explanation:

Last month, a car dealership sold 80 cars. Of all the cars sold, 15% of them were red. How many cars that were sold were red?

Answers

Answer:

12 red cars

Step-by-step explanation:

15% is 0.15

So, you do 80 × 0.15, which is 12.

A rectangular box has length 20cm, width 6cm and height 4cm. find how many cubes of size 2cm that will fit into the box.​

Answers

Answer:

[tex]\boxed{\pink{\sf The \ number \ of \ cubes \ that \ can \ be \ fitted \ is 60 .}}[/tex]

Step-by-step explanation:

Given dimensions of the box = 20cm × 6cm × 4cm .

Dimension of the cube = 2cm × 2cm × 2cm .

Therefore the number of cubes that can be fitted into the box will be equal to the Volume of box divided by the Volume of the cube. So ,

[tex]\boxed{\red{\bf \implies No. \ of \ cubes \ = \dfrac{Volume \ of \ box}{Volume \ of \ cube }}}[/tex]

[tex]\bf \implies n_{cubes} = \dfrac{20cm \times 6cm \times 4cm .}{2cm \times 2cm \times 2cm } \\\\\bf\implies n_{cubes} = 10 \ times 3cm \times 2cm \\\\\implies \boxed{\bf n_{cubes}= 60 }[/tex]

Hence the number of cubes that can be fitted in the box is 60 .

a student walks 2 kilometers in 30 minutes. What is the students average speed in kilometers per hour?

Answers

Answer:

4 km/h

Step-by-step explanation:

Answer:

4 kilometers per hour

Step-by-step explanation:

The noise level of a library is about 40 decibels. The noise of traffic has a rating of about 85 decibels. How many times stronger is the noise of traffic than the noise of a library?

Answers

Answer:

2.125

Step-by-step explanation:

LIbrary noise = 40 decibels

traffic noise = 85 decibels

how many does 40 take to make 85? = X

40X=85

X=85/40

2.125

Secured debt usually has _____.


longer loan terms


collateral


lower interest rates


all of the above

Answers

I personally don’t get this subject, but I do remember seeing a quote that actually says the answer, that quote is:

“Secured debt generally has a lower interest rate, because the lender has a source of collateral if you don't make your payments,” says Brown.

Hope this helps, and it’s actually pretty convenient that I saw this today....

Answer:

all of the above

Step-by-step explanation:

Question 6 of 14 Type the correct answer in the box. Use numerals instead of words. Joe owns a fast-food restaurant and wants to know the average time it takes for customers to receive their orders. His restaurant serves about 500 customers a day. He timed 5 orders, and the order times he collected, given in minutes, are shown below. Can the approximate order fulfillment time for all of the restaurant's customers be calculated from the given data? If so, calculate it. Non-integer answers should be rounded to the nearest tenth. If no assumption can be made, type "0" in the box. The approximate order fulfillment time for all of the restaurant's customers is minutes.

Answers

Answer:

The approximate order fulfillment time for all of the restaurant's customers is 0 minutes.

determine the value of x

Answers

Answer:

21

Step-by-step explanation:

pls help me due today

Answers

Answer:

a - 8/2

Step-by-step explanation:

i hope this help;-)

Answer:

[tex]\frac{1}{2} (a - 8)[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} (a - 8)[/tex] = [tex]\frac{1}{2}a - 4[/tex]

they are equal because 8 divided by 2 is 4 so you still get [tex]\frac{1}{2}a - 4[/tex]

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