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  3. in a lottery game a player chooses four digits (di

In a lottery game a player chooses four digits (digits can repeat, for instance 0, 2,...

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Statistics

In a lottery game a player chooses four digits (digits canrepeat, for instance 0, 2, 0, 2 is a valid choice) and bet $1 thatall four of them will arise in the four digit number drawn from thelottery. It isn’t necessary that the order will be the same: if aplayer selects 2, 6, 7, 8 the selection of 8, 2, 7, 6 means he won.Player gets $200 if he wins.

1. What is the probability of winning?

2. What is the probability mass function of X, the net earningsin one game?

3. What are the mean and standard deviation of net earnings?

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