help please/ Q3

3.) Assume that men's weights are normally distributed with a mean of // = 172 and a standard deviation given by o = 29. 1.) If one man is randomly selected, find the probability of his weight being at least 167 Ib. 2.) Find P62 - 3.) If 81 men are randomly selected, find the probability that they have a mean weight of between 100 lb and 165 lb. 4.) What is the weight of the top 80% separating the bottom 20%. 5.) If 4 men are randomly selected, find the probability that they have a mean weight between 173 and 181. 6.) Why can the central limit theorem be used in problem 5, even though the sample size is far less than 30