uppose that the resting h stributed with mean 80 a /hat heart rate would a m

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Suppose that the resting heart rate for men is normally
distributed with mean 80 and standard deviation 15.
What heart rate would a man have to have in order for
10% of the population to have a higher heart rate than
him?
Transcribed Image Text:Suppose that the resting heart rate for men is normally distributed with mean 80 and standard deviation 15. What heart rate would a man have to have in order for 10% of the population to have a higher heart rate than him?
Expert Solution
Step 1

Let X be a random variable with mean 80 and s.d. 15 that follows a normal distribution. So, X~N(80,152)

W have to find the heart rate a man would have to have in order for 10% of the population to have a higher heart rate than him which is to find the 10th percentile.

So, P(Xx)=0.10

P(X-8015x-8015)=0.10

P(Zx-8015)=0.10 where Z=X-μσ and Z~N(0,1)

 

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