The weights of adult males are distributed N(172,29) (in pounds). This is our shorthand notation for a Normal distribution with a mean of 172 and a standard deviation of 29. Answer the following:

a) what is the probability that an adult male selected at random will weigh between 171 and 182 pounds?

b) what is the probability that if nine men selected at random, their average weight will be between 171 and 182 pounds?

c) if we want to be 90% confident that our sample mean is within two pounds of the actual mean, what is the minimum number of men that must be weight?

d) an adult male is heaver than 15% of other males. what percentage of adult females are lighter than he is? (adult female weights are distributed N(143,29))