6.30. Jill's bowling scores are approximately normally distributed with mean 170 and standard deviation 20, while Jack's scores are approximately normally distributed with mean 160 and standard deviation 15. If Jack and Jill each bowl one game, then assuming that their scores are independent random variables, approximate the probability that a. Jack's score is higher; b. the total of their scores is above 350.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Please explain reasoning.
6.30. Jill's bowling scores are approximately normally distributed with
mean 170 and standard deviation 20, while Jack's scores are
approximately normally distributed with mean 160 and standard
deviation 15. If Jack and Jill each bowl one game, then assuming
that their scores are independent random variables, approximate the
probability that
a. Jack's score is higher;
b. the total of their scores is above 350.
Transcribed Image Text:6.30. Jill's bowling scores are approximately normally distributed with mean 170 and standard deviation 20, while Jack's scores are approximately normally distributed with mean 160 and standard deviation 15. If Jack and Jill each bowl one game, then assuming that their scores are independent random variables, approximate the probability that a. Jack's score is higher; b. the total of their scores is above 350.
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