Assignment:
Twelve of the top twenty finishers in the 2009 PGA Championship at Hazeltine National Golf Club in Chaska. Minnesota, used a Titleist brand golf ball (GolffiallTest 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.
b. Compute the probability that more than 10 of the 15 PGA Tour players use a Titleist brand golf ball.
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 and standard deviation of the number of players who use a Titleist brand golf ball.
Provide complete and step by step solution for the question and show calculations and use formulas.