SOLUTION: If the mean height is 70 inches with a standard deviation of 4, how many people would need to be sampled to find 5 people with height of 86 inches?

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Question 347435: If the mean height is 70 inches with a standard deviation of 4, how many people would need to be sampled to find 5 people with height of 86 inches?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
86 inches is 4 standard deviations (σ) above the mean

99.993666% (approx) of a normally distributed population lies within 4σ of the mean

out of a million people , about 63 would be outside 4σ ___ above AND below

so about 32 out of a million are at least 86 inches tall