Suppose that foot length of a randomly chosen adult male is a normal random variable with mean=11and standard deviation=1.5. Then the Standard Deviation Rule lets us sketch the probability distribution of X as follows:

(a)What is the probability that a randomly chosen adult male will have a foot lengthbetween 8 and 14 inches? Discuss

(b)An adult male is almost guaranteed (.997 probability) to have a foot length between what two values?Discuss

(c)The probability is only 2.5% that an adult male will have a foot length greater than how many inches?Discuss in detail