3. 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 143 lbs and a standard deviation of 29 lbs.
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).
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