If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 184 feet?

Question

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 210 feet and a standard deviation of 44 feet. Let X = distance in feet for a fly ball.


If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 184 feet? (Round your answer to four decimal places.)

Answer 1

210 - 184 = 26

 

26/44=.6 std dev.

 

Therefore you want the std normal value to the left of -.6 std dev = 27.43%