King Fahd University of Petroleum & Minerals

Mathematical Sciences


                                                          Quiz #3                                Sections: 3 & 4

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Question one: (5 points)

The time that each plane waits for service at an aircraft repair facility may be assumed to exponentially distributed.  A sample of size 50 aircraft waiting times will be collected.  Assuming that planes are removed from the holing area at a mean rate of 2 per day, determine the probability that the sample mean time is between 0.4 and 0.6 


Question two: (5 points)

A sample of 200 parts is to be tested from a shipment containing 1000 items. Assume that the proportion of defective items is 0.03.  Determine the probability that for the sample proportion defective