Refer to Example 4.11 and find the values of p(0), p(1), p(2), p(4) and p(5). Graph p(x). Calculate the mean μ and standard deviation σ. Locate μ and the interval μ - 2σ to μ + 2σ on the graph. If the experiment were to be repeated many times, what proportion of the x observations would fall within the inter μ - 2σ to μ + 2σ?

Example 4.11

A machine that produces stampings for automobile engines is malfunctioning and producing 10% defectives. The defective and nondefective stampings proceed from the machine in a random manner. If the next five stampings are tested, find the probability that three of them are defective.