SOLUTION: The equation above describes a normal distribution for a random variable X. It appears that the time people in the age range of 20 to 50 years spend sleeping is approximately norm

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Question 1019453: The equation above describes a normal distribution for a random variable X.
It appears that the time people in the age range of 20 to 50 years spend sleeping is approximately normally distributed with a mean of 7 hours and a standard deviation of 1 hour. Can you estimate the height of this probability density curve at the mean and also give the unit of this value?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The probability density function is given by .
Here, mu+=+7 and sigma+=+1
Upon substitution, we get f%28x%29+=+%281%2F%28sqrt%282%2Api%29%29%29%2Aexp%28%28-%28x-7%29%5E2%29%2F2%29.
The curve itself is symmetric at the vertical line x = 7, where it reaches it maximum height of 1%2F%28sqrt%282%2Api%29%29. The values of f(x) itself have no units/dimensions.