The probability of obtaining a defective 10-year old widget is 66.4%. For our purposes, the random variable will be the number of items that must be tested before finding the first defective 10-year old widget. Thus, this procedure yields a geometric distribution.

Use some form of technology like Excel or StatDisk to find the probability distribution.

(Report answers accurate to 4 decimal places.)

k P(X = k)

1

2 3 4 5 6 or greater