Question

Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 225, with a standard deviation of 13. If during a typical week susan bowls 16 games, what is the probability that her average score is more than 230?

Answer 1

Answer:

Step-by-step explanation:

probability that in a one-game playoff, her score is more than 227 = P(X>227)

z-score = 227-225/13 = 0.1538

P(X>227) = P(Z>0.1538) = 1 - P(Z<=0.1538) = 1- 0.5611 = 0.4389

probability that in a one-game playoff, her score is more than 227 is 0.4389

Hope it helps you...