SOLUTION: Can you please help me to solve this problem? I must be able to show work. The heights of all female college basketball players are normally distributed with a mean of 68 inche

Algebra ->  Probability-and-statistics -> SOLUTION: Can you please help me to solve this problem? I must be able to show work. The heights of all female college basketball players are normally distributed with a mean of 68 inche      Log On


   



Question 449791: Can you please help me to solve this problem?
I must be able to show work.
The heights of all female college basketball players are normally distributed with a mean of 68 inches and a standard deviation of 2 inches. The probability that the height of a randomly selected female college basketball player is between 65.5 and 70.5 inches is:

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The heights of all female college basketball players are normally distributed with a mean of 68 inches and a standard deviation of 2 inches.
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The probability that the height of a randomly selected female college basketball player is between 65.5 and 70.5 inches is:
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z(65.5) = (65.5-68)/2 = -2.5/2 = -1.25
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z(70.5) = (70.5-68)/2 = 2.5/2 = 1.25
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P(65.5<= x <=70.5) = P(-1.25<= z <=1.25) = 0.7887
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Cheers,
Stan H.