SOLUTION: Binomial and Normal Distribution Last year, the personal best high jumps of track athletes in a nearby state were normally distributed with a mean of 217cm and a standard deviat

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Question 746178: Binomial and Normal Distribution
Last year, the personal best high jumps of track athletes in a nearby state were normally distributed with a mean of 217cm and a standard deviation of 16cm. What is the probability that a randomly selected high jumper has a personal best between 233 and 249cm?
Thanks for your help!

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Let X = best high jump of track athlete
X ~Normal(µ = 217, σ = 16)
P%28233+%3C+X+%3C+249%29+=+P%28%28233+-+217%29%2F16+%3C+Z+%3C+%28249+-+217%29%2F16%29
=P( 1 < Z < 2)
= highlight%280.1359%29