(a)
A pair of dice consisting of a six-sided die (faces numbered 1,2,3,4,5,6) and a four-sided die
(faces numbered 1,2,3,4) of the numbers that turn up on the two is rolled. Let the random variable
𝑋 denote the sum.
(i)
Find the sample space of the experiment and the space of the random variable dice 𝑋. (8)
(ii)
Find the probability density function of 𝑋. (9) $$\begin{bmatrix} a & b \\\\ c & d \end{bmatrix}$$
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