# Normally Distributed Age of Doctors

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The average age of doctors in a certain hospital is 43.0 years old with a standard deviation of 8.0 years. If 25 doctors are chosen at random for a committee, what is the probability that the mean age of those doctors is less than 43.96 years. The variable is normally distributed.

Need the probability that the mean age of the doctor is less than 43.96.

Â© BrainMass Inc. brainmass.com March 4, 2021, 8:15 pm ad1c9bdddfhttps://brainmass.com/statistics/probability/normally-distributed-age-doctors-155962

#### Solution Preview

Let X be the the mean age of those doctors. Then we know that X follows a normal distribution with mean 43.0 and standard deviation ...

#### Solution Summary

This solution calculates the mean age of the doctors is less than 43.96 years with all formulas and steps shown.

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