Suppose you choose three people at random, one after the other and without replacement. What is the probability that all three are over 65″ in height?

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A man’s height is normally distributed with mean 68″ and standard deviation 5″. A woman’s height is normally distributed with mean 62″ and standard deviation 6″. Suppose you choose three people at random, one after the other and without replacement. What is the probability that all three are over 65″ in height?

 

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