6.42 NBA shooting In the National Basketball Association, the top free throw shooters usually have probability of about 0.90 of making any given free throw.

a. During a game, one such player (Dirk Nowitzki) shot 10 free throws. Let X = number of free throws made.

What must you assume for X to have a binomial distribution?

(Studies have shown that such assumptions are well satisfied for this sport.)

b. Specify the values of n and p for the binomial distribution of X in part a.

c. Find the probability that he made (i) all 10 free throws

(ii) 9 free throws and (iii) more than 7 free throws.