A quality engineer is monitoring a process that produces tiing belts for automobiles. each hour he samples 4 belts from the production line and determines the average breaking strength for the sample. if the average is too low, then this is a signal that the process is not operating correctly and that adjustments need to be made, assume that when the process is working ocrrectly the probability of obtaining a sample that produces an average that is too low .025. assume that this probability remians the same for each sample drawn. a. Argue that X, the number of samples that are drawn in order to obtain the first sample that produces an average that is too low, follows the geometric distribution, and identify the numerical value of p.
b. Write the formula for the moment generating function for X.
c. On the average, how many samples will be drawn in order to obtain the first sample whose average is too low?