In a certain manufacturing process, 1 in every 12 items has a defect.

(a) Compute the probability that exactly three items will be inspected before an inspector finds a defective items.

(b) Compute the probability that no more than four items will be inspected before the first defective item is found.

(c) Use Equation 7.23 and the following uniform variates to generate values of x:

u = {0.76.0.33.0.47,0.60,0.08,0.39,0.84,0.27}