Business, 19.12.2019 04:31 ashleytellez

Afriend has offered to play a gambling game with you that involves flipping a coin that he has provided. since 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 if the coin is fair. a.assume for a moment that the coin is fair. if is the proportion of heads in 50 flips of the coin, what are the mean and standard deviation of the sampling distribution of ? b. explain why you can use the formula for the standard deviation of in this setting. c. you flip the coin 50 times and get 30 heads. do you risk insulting yourfriend by refusing to play with his coin? support your answer with an appropriate probability calculation.

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