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Suppose the mean and the standard deviation of the waiting times of passengers at the bus...

Suppose the mean and the standard deviation of the waiting times of passengers at the bus station near the Cross Harbour Tunnel are 11.5 minutes and 2.2 minutes, respectively.

A) Assume the waiting times are normally distributed. 80% of the passengers at the bus station are expected to wait more than k minutes. Find k.

B) For a random sample of 36 passengers, find the probability that their mean waiting time will be less than 11 minutes. Does your calculation require assuming the waiting times to be normally distributed? Explain.


Math   Statistics-And-Probability   
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