In 2013 Brittney Griner, a basketball player for the Phoenix Mercury, played in

Question

In 2013 Brittney Griner, a basketball player for the Phoenix Mercury, played in 27 games. She made 139 field goals in 240 attempts. You are going to build a simple statistical model for her performance in a given game. Let N be the random variable that describes the number of field goals made in a given game. Based on the information provided above, choose a PMF that you think describes N. Justify your choice. Based on your PMF in (a), compute E [N] and var [N]. Suppose that each field goal Griner made is worth two points. Determine the expected value and variance of the number of points she scored in a given game. Show your work.

Explanation / Answer

Given that n=no. of games=27

N = no. of field goals = 139=x

total attempts = 240

p =x/n=139/240 = 0.5792

q = 1-p= 1-0.5792 = 0.4208

pmf is binomial pmf

B) E(X)=np=27(0.5792)=15.6384

V(X) = npq=27(0.5792)(0.4208) = 6.5806

C)

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