**King Fahd University of Petroleum & Minerals**

**Mathematical Sciences**

**Stat319-Term033**

** Quiz #3 Sections: 3
& 4**

**Name:
ID: Serial:**

__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

Solution:

_{}

__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 _{}

Solution:

_{}