Assume a study shows that the distribution of body fat percentage for all American males has a normal distribution with mean 17% and standard deviation 3%.

a. If the us army requires any male recruit to have less than 24% body fat, what is the probability that a randomly selected American male will be rejected by this requirement? assume another study shows that males serving in the us army have body fat percentages following a normal distribution mean 14% and standard deviation 2%.

b. Compare the probability that a randomly sampled American male has a body fat below 8% to the probability that randomly sampled male from the army has this body fat percentage. explain your result.

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