Consider the following from an estate agent business: a) Calculate the three point moving averages (quarters) and seasonal variation for the above data b) A detective figures he has a one in nine chance of recovering stolen property. His out-of-pocket expenses for the investigation are $9,000. He is only paid his fee if he recovers the stolen property, what should he charge clients in order to breakeven? c) At races, your horse, has a probability of 1/20 of coming 1st,1/10 of coming 2nd 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 $799 ? d) Your company plans to invest in a particular project. There is a 35% chance you will lose $30,000, a 40% chance you will break even, and a 25% chance you will make $65,000. Based solely on this information, what should you do? e) A manufacturer is considering the production of a new and better mousetrap. She estimates the probability that the new mousetrap is successful is 3/4. If it is successful, it would generate profits of $120,000. The development costs of the mousetrap are $88,000. Should the manufacturer proceed with plans for the new mousetrap? Why or why not