5.2 a) It has been noted by Pete from Pete's Computers that 30% of customers willpurchase the extended warranty when they purchase a desktop computer. Asample of 15 customers that have just purchased a desktop computer was taken.What is the probability that more than 7 also purchased the extended warranty?

b) A life insurance salesman knows that the numbers of policies he sells per week isPoisson distributed with an average 5 life insurance policies per week. Assumingthat there are 5 working days per week, what is the probability that in a given dayhe will sell exactly 2 policies?