Question: 30 Refer to Problem 4.6. The mean and standard deviation of the probability distribution for the lottery winnings are =.10 and 316.23. Suppose you play

30 Refer to Problem 4.6. The mean and standard deviation of the probability distribution for the lottery winnings are =.10 and 316.23. Suppose you play the lottery 1 million times Let denote your average winnings.

a) Find the inean and standard deviation of the distribution of .

b) How likely is it that you would "come out ahead." with your average winnings exceed- ing $1. the amount you paid to play cach time?

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