2. A company makes electronic doohickeys. Seventeen out of every 80 doohickeys are faulty, but the company doesn't know which ones are faulty until a buyer complains. Suppose a doohickey costs $33 to make and they sell it for $55. This means the company makes a $22 profit on the sale of any working doohickey, but suffers a loss of $75 for every doohickey that is faulty because they have an amazing guarantee and will repair the unit. How much is the expected value of each doohickey? Can the company expect a profit in the long term? How much profit will they make if they sell 100 doohickeys? How much overall profit will they make if they sell 2000