In the country’s 2012 budget, Canada decided to stop production of the penny.47 The government indicated that it costs 1.6 cents to produce each penny, some see the penny as a burden to the economy, and approximately 10% of all Canadians believe the penny is a nuisance. Suppose 50 Canadians are selected at random and asked if they believe the penny is a nuisance.
a. Find the mean, variance, and standard deviation of the number of Canadians who believe the penny is a nuisance.
b. What is the probability that at most three Canadians believe the penny is a nuisance?
c. Find the probability that the number of Canadians who believe the penny is a nuisance will be within two standard deviations of the mean.
he 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.