Question

An experiment consists of randomly drawing one ticket from a bag of 3 tickets, numbered 1,...

An experiment consists of randomly drawing one ticket from a bag of 3 tickets, numbered 1, 2, or 3, then replacing that ticket and randomly drawing a second time. Let x= the sum of the numbers on the two draws. Then the probability distribution of x is:

Select one:

a. The 5 values, 2 through 6, of x, are all equally likely (20% each).

b. The values of x are 2 through 6, with p(2) = p(6) = 1/9, p(3) = p(5) = 2/9, and p(4) = 1/3.

c. The only values of x are 3, 4, and 5, and each one has probability 1/3

d. The only values of x are 3, 4, and 5, and p(3) = p(5) = 1/6, but p(4) = 2/3.

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