Reference no: EM131196305

Mr X marketing direct for ABC film production believes that the studio upcoming firm has a 70 percentage chance of being hit, a 20 percentage chance of being moderate and 10 percentage chance of being flop. to his opinion, mr X organised two test screenings. after each screening, the audience rate the film on a scale of 1 to 5 stars. from the past long experience it is known that a hit film will receive 4 or 5 stars 65 percent, 30 percent ofthe time it will receive 2 or 3 stars and 5 percent of the time it will receive a rating of 1 star. for a moderately successful film, the respective probabilities are 0.30, 0.40, qnd 0,20 for a flop, the respective probabilities are 0,10, 0.40, and 0.50 the results of two screening tests are independent of each other. Required A) if the first test screening produces a score of 3 stars, what is the probability that a film is hit? B) if first screening test produces a score of 3 stars and the second screening results in a score of 1 star, what is the probability that a film is flop?