How high can a major league player's strikeout rate go? The accepted strikeout rate in the majors is roughly 25 percent. Consider a random variable that is the number of strikeouts in 10 plate appearances for a major league player.
a. What is the distribution of this random variable? Show its domain and define all parameters.
b. Justify your choice of distribution in (a). What criteria did you use?
c. What is the probability that a player will strikeout in more than three of 10 plate appearances?
d. How many strikeouts would you expect for this player?
e. What is the standard deviation for the number of strikeouts?
f. What are the odds that a player will have no strikeouts in 10 plate appearances?