Question

29. The following table shows how 558 people applying for a credit card were classified according to home ownership and length of time in present job. Less than 2 years 2 or more years Row total 194 267 Owner 73 291 Renter 210 81 Column Total 558 283 275 Suppose that a person is chosen at random from 558 applicants. We will use the following notation for events: O person rents a home; L = person has had present job less than 2 years; M person has had present job 2 years or more. home; R = person owns a (a) Compute P(0), P(O, given L), P(O, given M) (b) Compute P(O and M) and P(O (c) Compute P(R), P(R, given L), P(R, given M). (d) Compute P (R and L) and P (R or L). (e) Are the events O and M independent? Explain. (f) Are the events O and M mutually exclusive? Explain. M). or

Answer 1

do 558 291 + 983 - 558 558 10.6523 Plo, P(M) a pronu & J9Y (267).275) 1555) 1558) (Not Independent) - PlonM) = 1 gy Sss tol Not mutually exclusive)

|८ २) +3 Aline feuter col, total (22) 194 ___81 22 Row total 267 291 652 210 263 Po) - 26 ०५१851 658 +LoL) - POAL) ____ 03 283 -0.9580 - 10|1) =__49५ . - o.poss sto →PI DAH) ८ 194 p4 AUH) 267- +25 - 199 = 0.6237 855 85S 85S --22 1 ) _ २१] - 10. S२15 | sse --01 6 |1)___२० / २०3 = 6.१५.२० / PIRIM) = 8t. २२-5 fo. 294 PLRAL =