# Question

When two balanced dice are rolled, 36 equally likely outcomes are possible, as depicted in Fig. 5.1 on page 187. Let Y denote the sum of the dice.

a. What are the possible values of the random variable Y?

b. Use random-variable notation to represent the event that the sum of the dice is 7.

c. Find P(Y = 7).

d. Find the probability distribution of Y. Leave your probabilities in fraction form.

e. Construct a probability histogram for Y.

a. What are the possible values of the random variable Y?

b. Use random-variable notation to represent the event that the sum of the dice is 7.

c. Find P(Y = 7).

d. Find the probability distribution of Y. Leave your probabilities in fraction form.

e. Construct a probability histogram for Y.

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