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32%of women consider themselves fans of professional baseball. You randomly select six women and ask each if she considers herself a fan of professional baseball.

32%of women consider themselves fans of professional baseball. You randomly select six women and ask each if she considers herself a fan of professional baseball. Complete parts(a) through(c) below.

(a) Construct a binomial distribution using n=6andp=0.32.

x P(x)
0
1
2
3
4
5
6

(Round to the nearest thousandth asneeded.

)(b) Graph the binomial distribution using a histogram and describe its shape.

Describe the shape of the histogram. Choose the correct answer below.

A.

Symmetrical

B.

Skewed left

C.

Skewed right

D.

None of these (c) What values of the random variables would you considerunusual? Explain your reasoning

.Onaverage______out of 6 women would consider themselves baseballfans, with a standard deviation of ______women. The values x=6a and x=______would be unusual because their probabilities are

less thanequal to or greater than0.05.(Round to the nearest tenth asneeded.)

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