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An instant lottery ticket costs $2. Out of a total of $10,000 tickets printed for this lottery, 500 tickets contain a pr...

An instant lottery ticket costs $2. Out of a total of $10,000 tickets printed for this lottery, 500 tickets contain a prize of $5 each, 125 tickets have a prize of $10 each, 6 tickets have a prize of $1000 each, and 1 ticket has a prize of $5000. Let X be the random variable that denotes the net amount a player wins by playing this lottery.

Write the probability distribution of x.

Enter the exact answers. Enter your answers for x in increasing order.

           X                                 P(x)

Determine the mean and standard deviation of x.

Round your answers to two decimal places

On average, the players who play this game are expected to (blank) $(blank) per ticket with a standard deviation of $(blank).

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Answer #1

Sfo Pe the prize amout on lotleny tickat, then hiet auouut uten: y-2 P(x-5-2:500 I O000 P(x=10-2): 12S P(x-be-2)G P-5000-2) 1

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