Question

A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 40% of the cameras sold have been of the basic model. Of those buying the basic model, 34% purchase an extended warranty, whereas 49% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model? (Round your answer to four decimal places.)

Answer 1

Answer Given that B = Event that a basic model was purchased = Event that a deluxe model wal purchased. W = Event that an extended warently was purchase Then, PIB) 2004 Amplies Prod = 1-0,4 Hence, plo) = 016 p/w/B) = 0.34 P(Wh) = 0149 To compute ple/wl, saye's reale can be used. According to Baye's sule, for any I disjoint events, E and fo with PLE) +P(A) EL for any event A, PEIA) : PALE) P (E) P(A)e ) PIE) +P(A/F) P[F) It is abserved that ple) +P [0] =1, there fore

P/W/8) P/B) P(B/w) = P/w/B) PIB) + P(wo)plo) (0.34 *0.49) (0.34 x 0.4)+ (0.49 x 0.6) 0.136 (0.136) + (0,290) 0.136 0.43 0.3163