Question 571892
Assume that the population of heights of female college students is approximately normally distributed with mean m of 66 inches and standard deviation s of 4.00 inches. Show all work.
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Comment: You measure table length with a tape measure.  You measure
probabilities with a z-scale.
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(A) Find the proportion of female college students whose height is greater than 65 inches.
z(65) = (65-66)/4 = -0.2500
P(x > 65) = P(z > -0.2500) = normalcdf(-0.25,100) = 0.5987
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(B) Find the proportion of female college students whose height is no more than 65 inches
This is the complement of Problem "A":
P(x <= 65) = 1-0.5987 = 0.4013
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Cheers,
Stan H.
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