plubauilty that at least one of the systems allaeK? d. Would you recommend that

Question

plubauilty that at least one of the systems allaeK? d. Would you recommend that multiple detection systems be used? Explain. Twelve of the top 20 finishers in the 2009 PGA Championship at Hazeltine Natio Club in Chaska, Minnesota, used a Titleist brand golf ball (Gol November 12, 2009). Suppose these results are representative of the probability that a ran- 39. nal Golf fBallTest website domly selected PGA Tour player uses a Titleist brand golf ball. For a sample of 15 PGA Tour players, make the following calculations. Compute the probability that exactly 10 of the 15 PGA Tour players use a Titleist brand golf ball. Compute the probability that more than 10 of the 15 PGA Tour players use a Titleist brand golf ball. For a sample of 15 PGA Tour players, compute the expected number of players who use a Titleist brand golf ball. 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. a. b. c. d. 0. The Census Bureau's Current Ponulation Survey shouys 280 of individ

Explanation / Answer

Solution- Let X be the random variable of the number players who use titleist brand.

Then X follows binomial random variable with parameters

n= sample size = 15 and probability of success = p = 12/20 = 0.6

a. P(X=10)

= 15c10 * 0.6^10 * 0.4^5

= 0.1859 ( using binomial tables )

b. P(X > 10)

= 0.2173 ( using binomial tables )

c. Expected number of players using titlies brand = n*p

= 15 * 0.6

= 9

d. variance of X = n*p*(1-p)

= 15 * 0.6 * 0.4

= 3.6

SO standard deviation = 3.6^0.5

= 1.897

Answers

TY!

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