Mark has a batting average of 0.29 . Let x be the number of hits in his next 100 at bats, and let widehat(p) be the
sample proportion of Mark's hits. Please answer the following questions, and show your answers to 4
decimal places if necessary.
a. What is the distribution of x ?
b. Using the distribution of x, calculate the probability that Mark has between 32 and 42 (including 32
and 42) hits?
c. What is the distribution of widehat(p) ?
d. Using the distribution of widehat(p), calculate the probability that Mark has between 32 and 42 hits?