1.[12 marks]In the following situations, identify the random variable of interest(e.g. ‘LetXmeasure/count ...’). Then state whether or not the r.v. is binomial,justifying your answer.(a)[4 marks]A police officer randomly selects 30 cars to find out how many donot have a current Warrant of Fitness (WOF). She knows from experience thatthe probability a car does not have a current WOF is16.(b)[4 marks]Ten light bulbs are randomly selected from a batch and the lengthsof time they last before they fail is measured.(c)[4 marks]Mike is repeatedly rolling two dice and will stop when he gets adouble six. He counts the number of rolls until he gets a ’success’.2.[17 marks]May is interested in purchasing the local hardware store in her home-town. After examining the store accounts for the past two years, she found that thestore had been earning a gross amount of over $850 per day for 70% of the businessdays it was open. A random sample ofn= 20 business days is selected from the