For a recent evening at a small, old-fashioned movie theater, 45% of the moviegoers were female ar s5% were male. There were two movies playin that evening. One was a romantic comedy, and the other was a World War II film. As might be expectd, among the females the romantic comedy wa more popular than the war ilm: 80% of the females attended the romantic comedy. Among the male moviegoers the romantic comedy also was more popular: s0% of the males auended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and F denote the event that a randomly chosen moviegoer was male. Let R denote the event that a randomly chosen moviegoer attended the romantic comedy and R denote the event 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(R|F) - O P(r n R) - P(F)- 0.2 r(R|F) - 0.5 P(F n R) - O P(F) - 0.55 What is the probability that a randomly chosen moviegoer attended the romantic comedy?

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O PROBABILITY
Tree diagrams for conditional..
For a recent evening at a small, old-fashioned movie theater, 45% of the
moviegoers were female ar 55% were male. There were two movies playin
that evening. One was a romantic comedy, and the other was a World War
II film. As might be expected, among the females the romantic comedy wa
more popular than the war ulm: 80% of the females attended the romantic
comedy. Among the male moviegoers the romantic comedy also was more
popular: 50% of the males aended the romantic comedy. No moviegoer
attended both movies.
Let F denote the event that a randomly chosen moviegoer (at the small
theater that evening) was female and F denote the event that a randomly
chosen moviegoer was male. Let r denote the event that a randomly
chosen moviegoer attended the romantic comedy and R denote the event
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 (R |F) -
P(F n R) -
P(F) -
P(FnR) -
P(R|r) -
0.2
P(R|F) -
0.5
P(F n R) - O
P(F) - 0.55
P(F nR) - O
P(R|F) -
What is the probability that a randomly chosen moviegoer
attended the romantic comedy?
Explanation
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Transcribed Image Text:4:23 AA www-awn.aleks.com O PROBABILITY Tree diagrams for conditional.. For a recent evening at a small, old-fashioned movie theater, 45% of the moviegoers were female ar 55% were male. There were two movies playin that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy wa more popular than the war ulm: 80% of the females attended the romantic comedy. Among the male moviegoers the romantic comedy also was more popular: 50% of the males aended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and F denote the event that a randomly chosen moviegoer was male. Let r denote the event that a randomly chosen moviegoer attended the romantic comedy and R denote the event 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 (R |F) - P(F n R) - P(F) - P(FnR) - P(R|r) - 0.2 P(R|F) - 0.5 P(F n R) - O P(F) - 0.55 P(F nR) - O P(R|F) - What is the probability that a randomly chosen moviegoer attended the romantic comedy? Explanation Check Terms of Use Privacy| Accessibility
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