Conaidor the following from an estate agent business: a) Calculate the three point moving averages (quarters) and seasonal variation for the above data. (4 marks) b) A detective figures he has a one in nine chance of recovering stolen property. His out-of-pocket expenses for the investigation are $19,500. If he is paid his fee only if he recovers the stolen property, what should he charge clients in order to breakeven? (4 marks) c) At races, your horse, has a probability of 1/20 of coming 14, 1/10 of coming 2cd and a probability of 1/4 in coming 3rd. First place pays $4,500 to the winner, second place $3,500 and third place $1,500. Hence, is it worth entering the race if it costs $1,500 ? (4 marks) d) Investment Projects plans to invest in a particular project. There is a 35% chance they will lose $30,000, a 40% chance they will break even, and a 25% chance they will make $50,000. Based solely on this information, what should they do? (4 marks) e) Andrew's Air fryers are considering the manufacture of a new and better air fryer. They estimate the probability of the new air fryer being successful is %. If it is successful, it would generate profits of $135,000. The development costs of the air fryer are $98,000. Should Andrew's Air fryers proceed with plans for the new air fryer? Why or why not? (4 marks)