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(Solved): Problem 4: Suppose you play a game 5 times and each time you have a probability (1)/(3) of winning. ...



Problem 4: Suppose you play a game 5 times and each time you have a probability

(1)/(3)

of winning. The game costs

$1

to play each time. Each time you win, you earn

$10

. (a) Let

x

be the number of games you win. What kind of random variable is this? Write the probability mass function for

x

. (b) Let

Y

be the net amount of money you are left with at the end of all five games. Write a probability mass function for

Y

.



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