A sample of 2,500 people was asked how many cups of coffee they drink in the morning. You are given the following sample information. Cups of Coffee Frequency 0 700 1 900 2 600 3 300 2,500 Refer to Exhibit 5-7. The variance of the number of cups of coffee is _____.

Answers

Answer 1

Answer: V(X) = 0.96

Step-by-step explanation: Variance is defined as the average of the squared difference from the sample or population mean.

For a discrete frequency distribution is calculated following the steps:

1) Determine expected value or mean:

[tex]E(X)=\frac{\Sigma xf}{\Sigma f}[/tex]

[tex]E(X)=\frac{0(700)+1(900)+2(600)+3(300)}{2500}[/tex]

E(X) = 1.2

2) Multiply frequency and the squared difference of x and expected value:

[tex]f(x-E(X))^{2}[/tex]

[tex]700(0-1.2)^{2}=1008\\900(1-1.2)^{2} = 36\\600(2-1.2)^{2} = 384\\300(3-1.2)^{2} = 972[/tex]

3) Add them:

[tex]\Sigma [f(x-E(X))^{2}][/tex] = 1008 + 36 + 384 + 972 = 2400

4) Divide the sum per frequency total:

[tex]V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}[/tex]

[tex]V(X)=\frac{2400}{2500}[/tex]

V(X) = 0.96

The variance of the number of cups of coffee is 0.96.


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Step-by-step explanation:

Answer:

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Answer:

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Answers

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Step-by-step explanation:

b because it's bbbusjsjs

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It doesn't matter how many questions there are. If you got all of them correct, you get 100%.

What if you have 100 questions on a test?

If you got 85 questions correct, on a 100 question test, your grade would be 85%.

If you got 35 questions correct, on a 100 question test, your grade would be 35%.

If you got 98 questions correct, on a 100 question test, your grade would be 98%.

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Answers

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Answers

4(x-1)=8(x-2)

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Answer:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

$2492.10

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Step-by-step explanation:

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The Venn diagram represents the Quantum Physics High School student body. Circle A represents all students enrolled in extracurricular activities. Circle B represents all female students. There are 117 female students enrolled in extracurricular activities, and the enrollment of the high school is 1,000 students. There are 450 male students. How many female students are not enrolled in extracurricular activities?

A.
117
B.
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C.
550
D.
883

Answers

Answer:

total population of school = 1000

1000 - 450 males = 550 female students

550 - 200 females not in extra curriculars = 350 females in extra curriculars

350 + 90 males in extra curriculars = 440 total in extra curriculars

Circle A = 440

Circle B - overlap = 200 females not in extra curriculars

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Step-by-step explanation:

Answer:

Its a

Step-by-step explanation:

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Answers

Answer:

6 + 3 + 1.15 = 10.15 miles

Step-by-step explanation:

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Answers

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Answer rounded by nearest day

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Step-by-step explanation:

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Answers

Answer:

3.1%

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Answers

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Answers

The slope is given by
4
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y
+
2
=
4
x

8
adding

2
so
y
=
4
x

10
and
y
'
(
x
)
=
4

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Answers

Step-by-step explanation:

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