Please show the detailed solution method.

The function of a transmission system in an automobile is to deliver the right amount of power from the engine to the wheels. A transmission manufacturer has a process that has a history of producing 96 out of every 100 transmission systems with zero defects. If the Quality Assurance (QA) inspector detects one or more defects in a transmission system it is discarded and the loss resulting from the wasted material and labor is $5000. The QA inspector is about to examine a transmission system. (a) What random variable best describes the outcome of the inspection? (b) What parameter(s) describe the random variable? What is (are) the value(s) of the parameter{s)? (o) By how much should the sticker price of the automobile be increased to recover the losses resulting from the manufacture of defective transmission systems? Explain your answer showing the calculations involving the random variable