Please show work so I can learn how to do it. Thank you

1. Suppose an elevator has a maximum capacity of 16 passengers with a total weight of 2500 lb. Assume that weights of women are normally distributed with a mean of 168.4 Ibs and a standard deviation of 29 Ibs. a. Find the probability that 1 randomly selected woman has a weight greater than 156.25 lb. b. Find the probability that a sample of 16 women have a mean weight greater than 156.25 lb (which puts the total weight at 2500 lb, exceeding the maximum capacity)