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The elevator in the car rental building at San Francisco International Airport has a placard stating...

The elevator in the car rental building at San Francisco International Airport has a placard stating that the maximum capacity is ``4,000 lbs---27 passengers.'' Because 4000/27=148, this converts to a mean passenger weight of 148 lbs when the elevator is full. We will assume a worst-case scenario in which the elevator is filled with 27 adult males. Assume that adult males have weights that are normally distributed with a mean of 189 lbs and a standard deviation of 39 lbs.

  1. Find the probability that 1 randomly selected adult male has a weight greater than 148 lbs.
  2. Find the probability that a sample of 27 randomly selected adult males has a mean weight greater than 148 lbs.
Math   Statistics-And-Probability   
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