4.31. Referto Exercise 4.6. The mean and standard deviation of the probability distribution for the lottery winnings

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4.31. Referto Exercise 4.6. The mean and standard deviation of the probability distribution for the lottery winnings y arc p, = 0.10 and a = 316.23. Suppose you play the lottery 1 million times. Let y denote your average winnings.

(a) Find the mean and standard error of the sampling distribution of y.

(b) About how likely is it that you would '"come out ahead," with your average winnings exceeding $1, the amount you paid to play each time?

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