Question

OPROBABILITY Tamara Tree diagrams for conditional probabilities For a recent evening at a small, old-fashioned movie theater, 35% of the moviegoers were female and 65% were male. There were two movies playin that evening. One was a romantic comedy, and the other was a World War 11 film. As might be expected, among the females the romantic comec Va more popular than the war film: 80% of the females attended the romantic comedy. Among the male moviegoers the romantic comedy also wase popular: 60% of the males attended the romantic comedy. No moviegoe attended both movies Let F denote the event that a randomly chosen moviegoer (at the sma theater that evening) was female and F denote the event that a randcY chosen moviegoer was male. Let R denote the event that a randomly chosen moviegoer attended the romantic comedy and R denote the evD that a randomly chosen moviegoer attended the war film Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses (If necessary, consult a list of formulas.) P(RIF)-0 P(F)-03s P(F What is the probability that a randomly chosen moviegoer attended the war film?

Answer 1

on:- O.C 10.39 (FO R).26 FJ:0.4 - D.26 t 0.o 二 10.33