Aski gondala carries skiers lo the top of a mauntain. Assume that weights af skiers are normally distributed with a mean of 186 b and a standard deviation of 39 Ib. The gondola has a staled capacity of 25 passengers, and the gondola is rated for a load limit of 3500 Ib. Complete parts (a) through (d) below. a. Glven that the gandole is raled fora load fimit of 3500 b, whal is the maximum mean weight of the passengers if the gondala is filed to the slated capacily of 25 passengers? The maximum mcan weight is 140 D. (Type an Intogor or a docimal. Do not round.) b. If the gondola is filed with 25 randomly selected sklers, what is the probability that their mean weight exceeds the value from parl (8)? The probability is 1. (Round to four decimal places as nooded.) c. If the weight assumplions were revised so that the new capacity became 20 passengers and the gondola is filed with 20 randamly selected skiers, what Is the probablity that their mean weight exceeds 175 ib, which is the maxdmum mean wolght that does not cause the total load to exceed 3500 b? The probablity is (Round to four decimal places as nceded.)

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