A person selling their house plans on accepting the first offer above $450,000. Assume thatall offers for the house are independent random variables denotedXwith common CDFF(x), where the units ofXandxare dollars.Note: Your answers should be in terms ofthe functionF.(a)1What is the probability that any given offer is greater than $450,000?(b)5LetNbe the number of offers required until there is an offer above $450,000 (includingthe offer above $450,000). What is the probability that the first offer above $450,000is thenth offer? What is the distribution ofN? (c)2On average, how many offers would the vendor expect to receive (including the offerabove $450,000) before they sell the house