SOLUTION: assuming that the heights of boys in a high school basketball tournament are normally distributed, with mean 70 inches and standard deviation 2.5 inches, how many boys in a group o
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Question 448768: assuming that the heights of boys in a high school basketball tournament are normally distributed, with mean 70 inches and standard deviation 2.5 inches, how many boys in a group of 40 do we expect to be taller than 75 inches?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Assuming that the heights of boys in a high school basketball tournament are normally distributed, with mean 70 inches and standard deviation 2.5 inches, how many boys in a group of 40 do we expect to be taller than 75 inches?
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z(75) = (75-70)/2.5 = 2
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P(a random boy is taller than 75") = P(z > 2) = 0.02275
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Expected # of group of 40 to be over 75" = 0.02275*40 = 0.9100
Rounded up the expected number is 1.
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Cheers,
Stan H.
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