Use the probability distribution to complete parts (a) and (b) below.
The number of school-related extracurricular activities per student
Activities 0 1 2 3 4 5 6 7
Probability 0.059 0.121 0.164 0.179 0.212 0.127 0.086 0.052
(a) Find the mean, variance, and standard deviation of the probability distribution.
The mean is 3.3
(Round to one decimal place as needed.)
The variance is
(Round to one decimal place as needed.)

Answers

Answer 1

this could take a while to think about but uhh i dont know,

Answer 2

The variance of the probability distribution is 3.4.

To find the variance of the probability distribution, calculate the following:

1. The squared deviation of each activity value from the mean.

2. The product of each squared deviation and its corresponding probability.

3. The sum of these products.

1. Calculate the squared deviation of each activity value from the mean (3.3):

[tex]\[ (0 - 3.3)^2 = 3.3^2 = 10.89 \]\\[/tex]

[tex]\[ (1 - 3.3)^2 = (-2.3)^2 = 5.29 \][/tex]

[tex]\[ (2 - 3.3)^2 = (-1.3)^2 = 1.69 \][/tex]

[tex]\[ (3 - 3.3)^2 = (-0.3)^2 = 0.09 \][/tex]

[tex]\[ (4 - 3.3)^2 = (0.7)^2 = 0.49 \][/tex]

[tex]\[ (5 - 3.3)^2 = (1.7)^2 = 2.89 \][/tex]

[tex]\[ (6 - 3.3)^2 = (2.7)^2 = 7.29 \][/tex]

[tex]\[ (7 - 3.3)^2 = (3.7)^2 = 13.69 \][/tex]

2. the product of each squared deviation and its corresponding probability:

[tex]\[ 0.059 \times 10.89 = 0.64351 \][/tex]

[tex]\[ 0.121 \times 5.29 = 0.63909 \][/tex]

[tex]\[ 0.164 \times 1.69 = 0.27716 \][/tex]

[tex]\[ 0.179 \times 0.09 = 0.01611 \][/tex]

[tex]\[ 0.212 \times 0.49 = 0.10388 \][/tex]

[tex]\[ 0.127 \times 2.89 = 0.36703 \][/tex]

[tex]\[ 0.086 \times 7.29 = 0.62814 \][/tex]

[tex]\[ 0.052 \times 13.69 = 0.71188 \][/tex]

3. Sum up these products to get the variance:

[tex]\[ \text{Variance} = 0.64351 + 0.63909 + 0.27716 + 0.01611 + 0.10388 + 0.36703 + 0.62814 + 0.71188[/tex]

              = [tex]3.38680 \][/tex]

              =3.4

So, the variance is 3.4.

Learn more about variance here:

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Related Questions

For her phone service, Yolanda pays a monthly fee of $12, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $63.80
What are the possible number of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m.

Answers

Answer:

Step-by-step explanation:

12 + 0.05m = 63.80

12 + 1m/20 = 63.8

12 + m/20 = 63.8

(20 * 12)/20 + m/20 = 63.8

(20 * 12 + m)/20 = 63.8

(m + 240)/20 = 63.8

20((m + 240)/20) = 63.8

m + 240 = 20 * 63.8

m + 240 = 1276

m = 1276 - 240

m = 1036

13pts brainly please help

Answers

Answer:

p(- 3) = - 79

Step-by-step explanation:

Substitute x = - 3 into p(x) , that is

p(- 3) = 4(- 3)³ + 2(- 3)² - 3(- 3) + 2

        = 4(- 27) + 2(9) + 9 + 2

       = - 108 + 18 + 11

      = - 108 + 29

     = -  79

HELP!!!!!!!!!!!!!!!!!!-

Answers

Answer:

= 10 R 22

= 10 22/34

= 10 11/17

Step-by-step explanation:

write the log equation as an exponential equation. you do not need to solve for x.

Answers

Answer:

5^(1/6)=2x

Step-by-step explanation:

What the log equation is saying in words is this: 5 to what powe (which would be the 1/6) wll equal 2x. And you just write 5 to the 1/6 power, which is equal to 2x

4.
Joe has 15.25 ounces of cookie
dough. If each cookie uses 0.5 ounces
of cookie dough, how many cookies
can Joe make for everyone?

Answers

Answer 30.50 round it to 30 people
You do 15.05 divided by 0.5 and you get 30.5

Solve for x.
х= 2
х = 5
х = 4
х= 10

Answers

Answer:

x=5

Step-by-step explanation:

Intersecting Chords Formula:

(segment piece) x (segment piece) =  (segment piece) x (segment piece)

4*x = 10*2

4x = 20

Divide by 4

4x/4 = 20/4

x = 5

V
Calculate the length of Mary's trip.
10 miles
14 miles
24 miles
28 miles

Answers

76

Step-by-step explanation:

10+14+24+28=76 miles long

Which description best fits the graph?

Answers

Answer:

Step-by-step explanation:

U ultra

Which expressions are equivalent to (1/3x+x−5/3x)−(−4/3x+2) ?

Select all correct answers.


−2−x+2x

x−2

2−x

−2+x−2x

Answers

Answer:

the answers to this problem are x-2 and -2-x+2x

Step-by-step explanation:

i took the k12 test so i hope this helps

Answer:

i can comfirm its -2 - x +2x and 2-x

Step-by-step explanation:

took the quiz trust me

Someone help and we can play warzone

Answers

A is the correct one because 2.68 is less than 2.75. I hope this helps and could I get brainliest please?

David is driving through a school zone. He travels 1 km and it takes him 2.5 minutes to get through the school zone. What was his average speed in km/h?

Answers

Answer:

change 2.5min into hours then to find speed take distance over time getting 1/24 as the answer

The value of q is the ____ intercept of y= ax^2 +q The q value moves the graph ____ units ____or______ and has ______ on the ________of the parabola. The value of q causes a ____ shift of the parabola. The value of q causes a _____ shift of the graph.​

Answers

Answer:

See below

Step-by-step explanation:

Since no drop-downs are given, I'll guess and add the most suitable words for you.

The value of q is the y- intercept of y= ax^2 +q.

The q value moves the graph q units up or down and has (no option, could be shift) on the graph of the parabola.

The value of q causes a vertical shift of the parabola. The value of q causes a vertical shift of the graph.​

Round your answer to THREE (3) decimal places. If you do not round correctly, your answer will be marked incorrect.

If necessary, add zeros to your decimal to have 3 decimal places.

Your answer will be counted wrong if does not have 3 decimal places.

Answers

Answer:

Step-by-step explanation:

you need to add all 5 numbers together, then divide my 5. the answer should be 89.6

How Do I Prepare For A Math Test? I Seem To Find Math Tests Very Hard And Difficult, If I have A Way To Get My Mind Going, I Have To Get Some Tips.

Answers

Get enough sleep before the test

Part B how many more money did the cafe make in April than in March

Answers

Answer:

Please add image

On a morning in December, Carl wakes up and checks the thermometer. He reads that it is -10°F. In two hours he checks and the temperature has risen 4°F. In another three hours the temperature has risen 7°F. At the last time, he checks the thermometer, what is the temperature? Also writes an addition equation that models this situation​

Answers

Answer: 1 degree Fahrenheit

Step-by-step explanation:

The temperature starts at -10 degrees F, so if in two hours, the temperature has risen by 4 degrees, then the new temperature is -10 + 4 = -6 degrees F. 3 hours later, the temperature has risen another 7 degrees, so the new temperature is -6 + 7 = 1 degrees F. "addition equation" is ambiguous without knowing what class you are taking, but one such equation to represent the situation could be T = -10 + 4 + 7 = 1.

The sales tax rate is 10%. Of Tim buys a plastic bowl priced at $1, how much will he pay?

Answers

Answer:

$1.10

Step-by-step explanation:

If sales tax is ten percent then Tim's tax will be 10 cents

I need the answers, fast!

Answers

Answer:

-5/8, 1/3, -3/2

Step-by-step explanation:

1.

-7/8+1/4

-7/8+2/8

(-7+2)/8

-5/8

2.

-19/3+20/3

1/3

3.

2-7/2

(4-7)/2

-3/2

1-

-7/8+1/4

-7/8+2/8

(-7+2)/8

-5/8

2-

x^4-3x^2+2=0
Đặt ẩn t

Answers

Answer:

[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]

Step-by-step explanation:

x⁴ - 3x² + 2 = 0

x^2×2 - 3x² + 2 = 0

(x²)² - 3x² + 2 = 0

t² - 3t + 2 = 0

t = 1, t = 2

x² = 1, x² = 2

x = -1, x = 1

x = - square root 2, x = square root 2

[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]

Solve for x !!!!!!!!!!

Answers

Answer:

x= -7

Step-by-step explanation:

To solve subtract:

100-107= -7

x= -7

Hope this helps!

Answer:

x+107=100 (vert opp angles)

x=100-107

=-7

marking as brainliest + 80 pts <3 do it all please and if you have any questions you can ask here or add my dxisxcord, insxtax or snxapcxhxat so i can send the image up close if you can't see, js ask for it :P

Answers

Answer: BRAINLIEST?

PART 1

In january she recives the discount but not in Febuary

25*12= 300 For Jan

59.99*10= 599.90 For Feb

Total: 899.90 dollars

PART 2

x stands for amount of months

59.99x=359.94

Divide both sides by 59.99

x= 6

Step-by-step explanation:

Answer:

hi i know she alreaady andwerd but hi

Step-by-step explanation:

Divide. Round to the nearest tenth
2.29 divided by 3.5

Answers

Answer:

yes

Step-by-step explanation:yes

2.29 divided by 3.5

= 0.6542857143

and

rounded to the nearest tenth

= 0.7

Hope this helped you- have a good day bro cya)

I will give brainliest! I just need an correct expression to this. You do not have to give answer :)

Answers

try 6+14-11

that's what I think

Answer:

+6+14-11, may be the correct expression there

Each side of a square patio is 10.5 feet. The patio is made up of 1.5 foot by 1.5-foot square stones. What is the number of stones in the patio? Look at the solution below.
Does it include all the steps needed to solve the problem? Explain

10.5 x 10.5 = 110.25
110.25 ÷ 1.5 = 73.5

Answers

Answer:Yes

Step-by-step explanation:

The solution provided is complete and includes all the steps needed to solve the problem.

The first step is to calculate the area of the square patio by multiplying the length of one side by itself:

10.5 x 10.5 = 110.25.

The second step is to divide the area of the patio by the area of each individual stone to determine the number of stones needed:

110.25 ÷ 1.5 = 73.5.

Since it is not possible to have a fraction of a stone, the answer should be rounded up to the nearest whole number, which is 74.

Therefore, there are 74 stones on the patio.

To learn more about the square;

https://brainly.com/question/28776767

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What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer.
100 pts

Answers

Answer:

Tips or taxes add money to a bill. This is the same as a markup. Markdowns are the same as discounts. They take a percentage off a bill.

The resting heart rate of an adult is usually about 60 beats per minute. Complete the chart below and be sure to include comma for thousands.
Minutes Heartbeats
1 60
5 300
10 [blank]
50 [blank]
100 [blank]
500 [blank]
1,000 [blank]
5,000 [blank]
10,000 [blank]
( 25 point's !!!!!)

Answers

Answer:

heart rate for adults ranges from 60 to 100 beats per minute genuinely a lower heart rate is at rest implies more efficient heart functions and better cardiovascular fitness

Step-by-step explanation:

a well-trained athlete might have a normal resting heart rate closer to 60 beats per minute

(I really do hope this helps)

What expressions is equivalent to 5 to the power of 8

Answers

The first one and the second one

Answer:

Step-by-step explanation:

5¹⁶ ÷ 5² = 5⁽¹⁶ ⁻ ²⁾ = 5¹⁴  ❌

(5²)⁶ ÷ 5⁴ = 5⁽¹² ⁻⁴⁾ = 5⁸ ✅

5² × 5⁴ = 5⁽²⁺⁴⁾ = 5⁶ ❌

(5⁴)² = 5⁸ ✅

5⁻¹ × 5⁹ = 5⁻¹ ⁺ ⁹ = 5⁸ ✅

5⁻¹ × 5⁻⁸ = 5⁻¹ ⁺ ⁽⁻⁸⁾ = 5⁻⁹ ❌

jorge 5 miles every 8 hours find the unit rate

Answers

Answer:

5 miles = 8 Hrs

X = 1Hr

5 Miles × 1 Hr = X × 8Hrs

5 Miles × 1 Hr = X

8Hrs

5 Miles = X

8

X = 0.625 Miles

so we can conclude that George Travels

0.625 Miles Per Hour or 0.625 M/Hr

Sandra wants to use multiplication to solve 1/4 divided by 6=t

Answers

Answer; 1/4 × 1/6

Step-by-step explanation:  To turn a fraction division sentence into a multiplication sentence, simply multiply the second fraction by its reciprocal. For example 1/4 ÷ 6/1 is equaled to 1/4 × 1/6.

I hope this helps! please vote brainliest if so

Could someone please help answer this, no spam please, will give brainliest (homework help) thank you!

Answers

Answer:

[tex]1~3/4[/tex]

Step-by-step explanation:

Let [tex]k[/tex] be the amount of pork Mike uses. Then, he uses [tex]3k[/tex] beef.

We know he uses 7 pounds, of meat so we want to solve [tex]3k+k=7[/tex].

Combining like terms on the left side gives [tex]4k=7[/tex].

We can divide both sides by [tex]4[/tex] to get [tex]k=7/4=1~3/4[/tex].

So, the answer is [tex]\boxed{1~3/4}[/tex].

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