The heights of adult males are known to be normally distributed with a mean of 70 inches and a standard deviation of 2 inches. (a) Find the probability that a randomly selected adult male will be taller than 75 inches? (b) If three adult males are picked at random, find the probability that at least one of the males is taller than 75 inches. (c) If you want 90% of the adults to pass through a door freely, how high should be the door?

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