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Scilla [17]
2 years ago
13

37% of women consider themselves fans of professional baseball. you randomly select six women and ask each if she considers hers

elf a fan of professional baseball. Complete parts (a) through (d) below. (a) find the mean of the binomial distribution. (b) find the variance of the binomial distribution. (c) Find the standard deviation of the binomial distribution
Mathematics
1 answer:
valina [46]2 years ago
5 0

Answer:

(a) 2.22

(b) 1.3986

(c) 1.183

Step-by-step explanation:

Let <em>X</em> denote the number of women who consider themselves fans of professional baseball.

The proportion of women who consider themselves fans of professional baseball is, <em>p</em> = 0.37.

A random sample of <em>n</em> = 6 women are selected and each was asked if she considers herself a fan of professional baseball.

Each woman's reply is independent of the others.

The random variable <em>X</em> thus follows a binomial distribution with parameters <em>n</em> = 6 and <em>p</em> = 0.37.

(a)

Compute the mean of the binomial distribution as follows:

\text{Mean}=np=6\times 0.37=2.22

(b)

Compute the variance of the binomial distribution as follows:

\text{Variance}=np(1-p)=6\times 0.37\times (1-0.37)=1.3986

(c)

Compute the standard deviation of the binomial distribution as follows:

\text{Standard Deviation}=\sqrt{np(1-p)}=\sqrt{6\times 0.37\times (1-0.37)}=1.183

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swat32

Answer: (6 , 3)

Step-by-step explanation: Given

x + 3y =15 ------- equation 1

4x + 2y = 30 --------- equation 2

x = 15 - 3y

Put value of x in equation 2

4 (15 - 3y) + 2y = 30

60 - 12y + 2y = 30

-10y = -30

divide by '-10' on both sides

y = 3

now, put value of y in equation 1

x + 3(3) = 15

x + 9 = 15

x = 15 - 9

x =  6

So , (x , y) = (6 , 3)

7 0
2 years ago
Open Ended Dan takes an airplane to visit his parents. He pays the airline a total of $400. The cost of the ticket is $320. The
Morgarella [4.7K]

Answer:

Dan paid $80 for his luggage

Step-by-step explanation:

$400

-$320

= $80

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2 years ago
In parallelogram WXYZ, what is CY?<br> CY=___ ft
dangina [55]
<span>The correct answer is 11 ft.

Explanation:
The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.

Subtract x from each side:
x+4-x=2x-7-x
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3 years ago
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I uploaded the answer t^{}o a file hosting. Here's link:

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2 years ago
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Please ' help me I need it please I'm begging you
vazorg [7]

Answer: 0.75 (choice B)

=============================================

Explanation:

One way to set up the equation is to think of it like this

vertical/horizontal = vertical/horizontal

So we could say

(3.5)/(28) = x/6

Cross multiply and solve for x

3.5*6 = 28*x

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x = 21/28

x = (3*7)/(4*7)

x = 3/4 in fraction form

x = 0.75 in decimal form

-------------

Another possible set up equation is

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in this case I divided the horizontal sides together (28 and 6) and the vertical sides divide to form their own separate fraction as well.

Solving that equation should lead you to x = 3/4 = 0.75

Other equations are possible.

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