What is the probability that at most 20 people liked the, Basic Statistics

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What is the probability that at most 20 people liked the

Marketing and Consumer Behavior

The movie Les Misérables, an adaptation of Victor Hugo's novel, starred Hugh Jackman, Russell Crowe, Anne Hathaway, and Amanda Seyfried, and won many awards. The Flixster movie site, Rotten Tomatoes, rated the movie at 74% on the Tomatometer. However, 81% of all people who saw the movie liked it.48 Suppose 30 people who saw the movie are selected at random.

a. What is the probability that at most 20 people liked the movie?

b. What is the probability that at least 25 people liked the movie?

c. Suppose 18 people liked the movie. Is there any evidence to suggest that the claim (81%) is wrong? Justify your answer.

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