Question 1063428: 4. Assuming that the heights (X) of college male students is normally distributed with a mean of 69 inches and standard deviation of 3 inches, calculate the probability that
a. x is less than or equal to 65 inches
b. x is greater than or equal to 65 inches but less than or equal to 70 inches
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Assuming that the heights (X) of college male students is normally distributed with a mean of 69 inches and standard deviation of 3 inches, calculate the probability that
a. x is less than or equal to 65 inches
z(65) = (65-69)/3 = -4/3
P(x <= 65) = P(z <= -4/3) = normalcdf(-100,-4/3) = 0.0912
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b. x is greater than or equal to 65 inches but less than or equal to 70 inches
z(65) = -4/3
z(70) = (70-69)/3 = 1/3
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P(65<= x <=70) = P(-4/3<= z <= 1/3) = normalcdf(-4/3,1/3) = 0.5393
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Cheers,
Stan H.
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