Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.

A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.

Which is the correct interpretation of the standard deviation?

The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.96 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.96 from the expected number of eggs.
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.4 from the expected number of eggs.

Answers

Answer 1

Answer:

C

The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.

Answer 2

The correct interpretation of the standard deviation of the discrete distribution is:

The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.

What is the standard deviation of a discrete distribution?To find the standard deviation, first we have to find the mean.The mean is given by the sum of each outcome multiplied by it's respective probability.The standard deviation is given by the square root of the sum of the difference squared of each outcome and the mean, multiplied by it's respective probability.It represents by how much the distribution varies from the expected value.

In this problem, the distribution is:

[tex]P(X = 0) = 0.02[/tex]

[tex]P(X = 1) = 0.03[/tex]

[tex]P(X = 2) = 0.07[/tex]

[tex]P(X = 3) = 0.12[/tex]

[tex]P(X = 4) = 0.30[/tex]

[tex]P(X = 5) = 0.28[/tex]

[tex]P(X = 6) = 0.18[/tex]

Hence, the mean is:

[tex]E(X) = 0.02(0) + 0.03(1) + 0.07(2) + 0.12(3) + 0.3(4) + 0.28(5) + 0.18(6) = 4.21[/tex]

Then, the standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{0.02(0-4.21)^2 + 0.03(1-4.21)^2 + 0.07(2-4.21)^2 + 0.12(3-4.21)^2 + 0.3(4-4.21)^2 + 0.28(5-4.21)^2 + 0.18(6-4.21)^2} = 1.40[/tex]

Hence, the correct option is:

The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.

As the measure is the number of eggs, not the mean number of eggs.

You can learn more about the standard deviation of a discrete distribution at brainly.com/question/21186607


Related Questions

will mark brainliest! pls help
JKLM, what is the value of M

Answers

A. 65 is the answer for you!

n + 10 = 8 + 4

find the value of n. ​

Answers

Answer:

n=2

Step-by-step explanation:

8+4=12

12-10=n

n=2

N is equal to 2. 8+4 is 12 which leaves you with n+10=12 so then you subtract 10 from 12 which gives you n=2

Matteo is following this recipe to make a cake.
He wants to make three of these cakes.
How much of each ingredient does he need?

Recipe: Makes 1 cake
8 ounces butter
7 ounces sugar
10 ounces of flour
4 eggs
1 teaspoon (tsp) baking powder

Answers

Answer:

30 ounces of butter

25 ounces of sugar

35 ounces of flour

15 eggs

10 tbps of baking powder

Step-by-step explanation:

All you do is multiple each quantity by 5 I think

we are learning about this in school but check the web to see if it is correct

What is the measure (in radians) of central angle in the circle below?
5 cm
0
2 cm
radians

Answers

Answer:

2.5

Step-by-step explanation:

Standard Form: 3x+4y=−16

Answers

Answer:

i know the answer

Step-by-step explanation:

a) y=(x+4)7-7)
Convert factored form to standard form

Answers

Answer:

[tex]y - 7x = 21[/tex]

Step-by-step explanation:

Given

[tex]y = (x + 4)7 - 7[/tex]

Required

Convert to standard form

[tex]y = (x + 4)7 - 7[/tex]

Start by opening the bracket

[tex]y = x*7 + 4*7 - 7[/tex]

[tex]y = 7x + 4*7 - 7[/tex]

[tex]y = 7x + 28 - 7[/tex]

[tex]y = 7x + 21[/tex]

Subtract 7x from both sides

[tex]y - 7x = 7x - 7x + 21[/tex]

[tex]y - 7x = 21[/tex]

Hence:

The standard form is: [tex]y - 7x = 21[/tex]

(3x+15) (2x)

Help pls

Answers

Answer:

(

3

+

1

5

)

(

2

)

(3x+15)(2x)

(3x+15)(2x)

Simplify

1

Distribute

(

3

+

1

5

)

(

2

)

3

(

2

)

+

1

5

(

2

)

Solution

3

(

2

)

+

1

5

(

2

)

Step-by-step explanation:

Answer:

[tex]3x+15+2x=180\\5x=165\\x=33\\[/tex]

Help please help desperate due today..

Answers

Answer:

54 Students on each bus

Step-by-step explanation:

I got that answer by subtracting 16 to 232 which got me 216 then i divide 4 and got 54!

Hope this Helps! :)

Answer:

54

Step-by-step explanation:

First you do 232-16 which is 216 then all you do is divided 216 by 4 which is 54!

I hope this helps and have a great day!


[tex] - 10 = 2x + 6[/tex]
how do I do this​

Answers

X=-8 2x=-16 divide both sides by 2 and it will equal -8 remember negative times positive is a negative

Carl earns $3.25 per hour walking his neighbor’s dogs. He walks them 1/3 of an hour in the morning and 1/2 of an hour in the afternoon.
a. How much time does Carl spend dog walking every day?
b. How much time does Carl spend dog walking in a week?
c. Ten minutes is equal to 1/6 of an hour. How many minutes does Carl work dog walking each week?
d. How much money does Carl earn each week?

Answers

A) is 50 minutes
B) 5.83 hours
C) 350 minutes
D)he would make $18.95 a week

Picture attached below

Answers

Answer:

it's answer is B. 4/5

Step-by-step explanation:

perpendicular (p) = 8

hypotenuse (h) = 10

sin < A

= p/h

= 8/ 10

= 4/ 5

Hope it will help :)

Sally was painting an airplane on a canvas using a 1in.: 8ft scale. If her painting was 29 inches wide, what was the actual width of the airplane?

Answers

Answer:

232 inches or 19.33 feet

Step-by-step explanation:

232 feet is the  actual width of the airplane.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Sally was painting an airplane on a canvas using a 1in.: 8ft scale

1 inches = 8 ft scale.

Sally painting was 29 inches wide.

We have to find the actual width of the airplane.

Convert 29 inches to feet.

As we know 1 inche is 8 feet so 8 inches will be the multiple of 8 and 28.

29×8

232 feet.

Hence, 232 feet is the  actual width of the airplane.

To learn more on Unit of Measurement click:

https://brainly.com/question/15402847

#SPJ5

At the start of the experiment substance is measured to be 90°C, and by the end of the experiment its temperature is measured as -50°C. How does the temperature change from the start to the end of the experiment? Represent a decrease in temperature with a negative number.

Answers

Answer:

-140C

Step-by-step explanation:

∆T = T2-T1

∆T = -50-90= -140C


A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?

Answers

Answer:

They will Markup the price by $19.76.

Step-by-step explanation:

Markup percent = 38%

Wholesale Price = $52

Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.

so

Markup price = 38% of 52

                      = 38/100 × 52

                       = 0.38 × 52

                       = $19.76

Therefore, they will Markup the price by $19.76.

which of the following is not a function A (2,1),(4,3),(6,5),( 8,7) B (2,1),(4,1),(6,5),(5,4) C (2,1),(4,3),(6,5),(2,7)

Answers

The one that is not a function is B

Answer:

B

Step-by-step explanation:

Complete the similarity statement for the two quadrilaterals given.



Enter your answer in the box.

quadrilateral RBWZ∼quadrilateral

Answers

Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS

have a wonderful day and stay safe!!!

Step-by-step explanation: (see picture :))

Answer:

JPFS

Step-by-step explanation:

Verified correct with test results.

Please help explain how to do this

Answers

Parentheses
Exponents
Multiple
Divide
Add
Subtract

Answer:

Any number that isn't 3.

Step-by-step explanation:

Any other number should work, so I'll just show you what happens if you use 3.

2(3x - 2) = 6x + 5

6x - 4 = 6x + 5

-4 ≠ 5

As you are aware, that would make it no solution hence why it can't be used.

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is Determine the​ flag's width and length if the length is ft greater than the width.

Answers

Answer:

Step-by-step explanation:

lag is Determine the​ flag's wlag is Determine the​ flag's wlag is Determine the​ flag's w this mena that the wiatgh

Answer:

I need help on this.

Step-by-step explanation:

The top and bottom margins of a poster are each 6.5 cm and the side margins are each 4.5 cm. The area of printed material on the poster is fixed at 384 cm^2.

Answers

Answer:

384cm^2,

Step-by-step explanation:

The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm^2,

-3/4 times (-12) (this / means a fraction)

Answers

Answer:

9

Step-by-step explanation:

a first number plus twice a second number is 4. twice the first number plus the second number totals 26. find the numbers

Answers

Answer:

a = 16

b = -6

Step-by-step explanation:

a + 2b = 4

2a + b = 26

2a + 4b = 8

2a + b = 26

3b = -18

b = -6

a + 2(-6) = 4

a - 12 = 4

a = 16

A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet and the perimeter of the habitat should be no more than 300 feet


Write a system of linear inequality:___________


Please help!! It’s due within 20 minutes!! Please..

Answers

Answer:

Step-by-step explanation:

Let x ft be the length of the fence and y ft be the width of the fence.

1. The length of the habitat should be at least 80 feet, then

2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fences 2x+2y ft, then

3. The system of inequalities that represent the model is

The graph of these inequalities is attached.

Two possible solutions are

1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);

2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).

one sixth multiplied by 42​

Answers

Answer:

6/42 = 1/7

Step-by-step explanation:

1/6 x 42/1

1 x 42 = 42

6 x 1 = 6

simplify to 1/7 (6 divided by 6 = 1, 42 divided by 6= 7)

hope this helps :)

Answer:

7

Step-by-step explanation:

1/6 x 42 = 7

The line models the temperature starting at noon on an autumn day.

a. Find the y-intercept of the function.

b. What does the y-intercept represent?

please help! (i will insert a picture so you can see the graph)

Answers

Answer:

a) y-intercept (as can be seen) is 50 degrees

b) this means that, at the time the temperature began to be recorded, it was 50 degrees outside

Step-by-step explanation:

A rectangular prism has a length of iom, a height of 2m, and a width of 5m. What is
its volume, in cubic m?

Answers

Answer: Would it be 10^3m

Step-by-step explanation:

Volume of a rectangular prism = (length x width x height) cubic units.

Samir spent $150 at Costco. He had a coupon that took 5% off the total bill, b. What was the bill before the discount?

Answers

Answer:

157.89 is the answer

What’s the sum of -3a+2 and 5a-3

Answers

Answer:

2a-1

Step-by-step explanation:

Answer:

2a-1

Step-by-step explanation:

you take the -3a and add the 5a, and that gives you 2a. 2-3 is -1.

solve for w. 7w=-14

please help me with this one plz

Answers

Answer: w = -2

Step-by-step explanation:

7w = -14

Divide both sides by 7

w = -2

That was brief but hope it helps!

Answer:

W = -2

Step-by-step explanation:

7W÷7      -14÷7

W= -2

What is the slope of the line that passes through the points (-9,8) and
(-21, 10)? Write your answer in simplest form.

Answers

Answer:

The slope is -1/6

Step-by-step explanation:

We simply use the slope formula here

Mathematically, we have this as;

m = (y2-y1)/(x2-x1)

thus;

m = (10-8)/(-21 + 9) = 2/-12 = -1/6

Can someone plzz help me with this? To put it on order on the number line??

Answers

Answer:

1/4   1/2    1.5     1 3/4     1.75

Answer:

1/4, 1/2, 1.5, 1 3/4, 1.75

Step-by-step explanation:

1 3/4 and 1.75 is the same  tho

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