Twelve of the top 20 finishers in the 2009 PGA Championship at Hazeltine National Golf Club in Chaska, Minnesota used a Titleist brand golf ball (Golf Ball Test website, November 12, 2009). Suppose these results are representative of the probability that a randomly selected PGA Tour player uses a Titleist brand golf ball. For a sample of 15 PGA Tour players, make the following calculations.
a. Compute the probability that exactly 10 of the 15 PGA Tour players use a Titleist brand golf ball. Round your answer to four decimal places.
b. Compute the probability that more than 10 of the 15 PGA Tour players use a Titleist brand golf ball. Round your answer to four decimal places.
c. For a sample of 15 PGA Tour players, compute the expected number of players who use a Titleist brand golf ball.
d. For a sample of 15 PGA Tour players, compute the variance of the number of players who use a Titleist brand golf ball. Round your answer to one decimal place.
For a sample of 15 PGA Tour players, compute the standard deviation of the number of players who use a Titleist brand golf ball. Round your answer to four decimal places.