A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 186 lb and a standard deviation of 44lb. The gondola has a stated capacity of 25 ​passengers, and the gondola is rated for a load limit of 3500lb. Complete parts​ (a) through​ (d) below. A. Given that the gondola is rated for a load limit of 3500​lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 ​passengers? The maximum mean weight is______ B.  If the gondola is filled with 25 randomly selected​ skiers, what is the probability that their mean weight exceeds the value from part​ (a)? The probability is____ C. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected​ skiers, what is the probability that their mean weight exceeds 186 ​lb, which is the maximum mean weight that does not cause the total load to exceed 3500​lb? The probability is____ D. Is the new capacity of 20 passengers​ safe?

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A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 186 lb and a standard deviation of 44lb. The gondola has a stated capacity of 25 ​passengers, and the gondola is rated for a load limit of 3500lb. Complete parts​ (a) through​ (d) below.

A. Given that the gondola is rated for a load limit of 3500​lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 ​passengers?

The maximum mean weight is______

B.  If the gondola is filled with 25 randomly selected​ skiers, what is the probability that their mean weight exceeds the value from part​ (a)?

The probability is____

C. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected​ skiers, what is the probability that their mean weight exceeds 186 ​lb, which is the maximum mean weight that does not cause the total load to exceed 3500​lb?

The probability is____

D. Is the new capacity of 20 passengers​ safe?

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