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

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Statistics

Suppose the mean and the standard deviation of the waiting timesof passengers at the bus station near the Cross Harbour Tunnel are11.5 minutes and 2.2 minutes, respectively.

(a) Assume the waiting times are normally distributed. Howlikely a randomly selected passenger waits less than 15 minutes atthe bus station?

(b) Assume the waiting times are normally distributed. 82% ofthe passengers at the bus station are expected to wait more than kminutes. Find k.

(c) For a random sample of 36 passengers, find the probabilitythat their mean waiting time will be less than 11 minutes. Doesyour calculation require assuming the waiting times to be normallydistributed? Explain.

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