of heads will be to his advantage, you want to test the coin for fairness before you begin to play. Your friend is willing to let you flip the coin 50 times to determine if the probability of getting heads is actually 0.50, as it should be in a fair coin. (a) Assume for the moment that the coin is fair. If is the proportion of heads in 50 flips of the coin, calculate the mean and standard deviation of the sampling distribution of . (b) You flip the coin 50 times and get

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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 friend has offered to play a game with you that involves flipping a coin that he has provided. Because a flip of
heads will be to his advantage, you want to test the coin for fairness before you begin to play. Your friend is
willing to let you flip the coin 50 times to determine if the probability of getting heads is actually 0.50, as it should
be in a fair coin.
(a) Assume for the moment that the coin is fair. If is the proportion of heads in 50 flips of the coin, calculate
the mean and standard deviation of the sampling distribution of .
(b) You flip the coin 50 times and get 30 heads. How extreme is this result? Do you risk insulting your friend
by refusing to play with his coin? Explain. 

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