Question

In: Statistics and Probability

Recently the bowling scores of a certain bowler were normally distributed with mean 201 and standard...

Recently the bowling scores of a certain bowler were normally distributed with mean 201 and standard deviation 21.
a) Find the probability that a score is from 185 to 205
b) Find the probability that a score is from 165 to 175
c) Find the probability that a score is greater than 200.
d) The best score is 299. Find the percentile that corresponds to this score, and explain what that number represents.

Solutions

Expert Solution

The probability that a score is from 185 to 205 is

The probability that a score is from 165 to 175 is

The probability that a score is greater than 200 is

The score corresponding to 99.99th percentile is 299.


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