NASA needs astronauts to be between 62 and 75 inches. The average height for an American male is 70 inches with a standard deviation of 3 inches. The average height for an American female is 64.5 inches with a standard deviation of 2.5 inches. Heights are normally distributed. I take a sample of 32 American children. What is the probability that the mean height of these kids when they grow up will be in the acceptable range to become an astronaut