In a game of rolling a die. If the number showing is even, you win $3, if the number showing is 1 you win $3 and if the number showing is either 3 or 5 you win nothing. Let x be the amount you win, i. list the probability distribution of x.

ii. What is the amount of dollar you expect to win?

(a)

(b)$2

Step-by-step explanation:

In the given game of rolling a die. these are the possible winnings.

There are 6 sides in the die.

(i)The probability distribution of x.

Let x be the amount won

Therefore:

Probability distribution of x.

(ii) Expected amount of dollar won

Expected Amount

You would expect to win $2.

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step-by-step explanation: