Question

34.

Exhibit 7-3.

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.

Refer to Exhibit 7-3. If during a typical week Susan bowls 16 games, what is the probability that her average score is more than 230?

A.

0.0618

B.

0.3520

C.

0.9382

D.

0.6480

NOTE: Correct answer is A. Please legibly walk me through steps and locate any tips for solving, thanks.

Answer 1

Solution :

Given that ,

mean = = 225

standard deviation = = 13

= / n = 13 / 16 = 3.25

P( > 230) = 1 - P( < 230)

= 1 - P[( - ) / < (230 - 225) / 3.25]

= 1 - P(z < 1.54)

= 1 - 0.9382

= 0.0618

Probability = 0.0618

option A) is correct