A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 195 lb. and a standard deviation of 40 lb. If the gondola is rated for a...

A ski gondola carries skiers to the top of a mountain. Assume that weights of
skiers are normally distributed with a mean of 195 lb. and a standard deviation of 40 lb. If the gondola is rated for a load limit of 1500 lb., how many skiers should be allowed to board so that the probability of overloading the gondola is less than 0.05?