QUESTION 3 (10 MARKS)

A company makes electronic gadgets. One out of every 50 gadgets is faulty, but the company doesn't know which ones are faulty until a buyer complains. The company makes a RM3 profit on the sale of any working gadget, but suffers a loss of $80 for every faulty gadget because they have to repair the unit. Let X be the profit, write the probability distribution table and check whether the company can expect a profit in the long term.