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1. 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

1. 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 usingn=6andp=0.32.

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

(Round to the nearest thousandth asneeded.)

2.Students in a class take a quiz with eight questions. The number x of questions answered correctly can be approximated by the following probability distribution. Complete parts(a) through(e).
x 0 1 2 3 4 5 6 7 8
P(x) 0.04 0.01 0.06 0.05 0.11 0.24 0.27 0.15

0.07

(a) Use the probability distribution to find the mean of the probability distribution. (Round to the nearest tenth asneeded.) (b) Use the probability distribution to find the variance of the probability distribution.(Round to the nearest tenth asneeded.) (c) Use the probability distribution to find the standard deviation of the probability distribution.(Round to the nearest tenth asneeded.) (d) Use the probability distribution to find the expected value of the probability distribution. (Round to the nearest tenth asneeded.)

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