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Question
a group of ticket takers at a box office for a new theater noticed that in the first year of the theaters operation, the genre breakdown of the movies was 10% horror, 39% comedy, 28% drama, and 23% action. if a movie from the theaters first year of operation was selected at random, which of the following identifies the probability distribution for the movies genre? action comedy drama horror 0.10 0.39 0.28 0.23 action comedy drama horror 0.23 0.39 0.28 0.10 action comedy drama horror 0.39 0.23 0.10 0.28 action comedy drama horror 0.39 0.10 0.23 0.28
Step1: Match the probabilities with the genres
We know that action is 23% (0.23), comedy is 39% (0.39), drama is 28% (0.28), and horror is 10% (0.10).
Step2: Check each option
- Option 1: Action = 0.10 (wrong), Comedy = 0.39 (right), Drama = 0.28 (right), Horror = 0.23 (wrong)
- Option 2: Action = 0.23 (right), Comedy = 0.39 (right), Drama = 0.28 (right), Horror = 0.10 (right)
- Option 3: Action = 0.39 (wrong), Comedy = 0.23 (wrong), Drama = 0.10 (wrong), Horror = 0.28 (wrong)
- Option 4: Action = 0.39 (wrong), Comedy = 0.10 (wrong), Drama = 0.23 (wrong), Horror = 0.28 (wrong)
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The second option (Action: 0.23, Comedy: 0.39, Drama: 0.28, Horror: 0.10) is correct.