Question

Hitting the fairway. One statistic used to assess professional golfers is driving accuracy, the percent of drives that land in the fairway. In 2009, driving accuracy for PGA Tour professionals ranged from about 50% to about 75%. Phil Mickelson, the third-highest money winner on the PGA Tour in 2009, hits the fairway only about 52% of the time.5 Phil is also one of the longest drivers on the tour, and increased distance is generally associated with decreased accuracy. (a) Phil hits 14 drives in a round. What assumptions must you make in order to use a binomial distribution for the count X

Answer 1

To use a binomial distribution for the probability that X drives land on the fairway the following conditions must be met:
The number of drives is fixed at 14.
The result of each drive is independent of the others.
Each drive has a constant probability of landing on the fairway.
There are only two possible outcomes of each drive, on the fairway or not on the fairway.

Which of the above conditions is obviously not met in this case?