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9709 P6 - Jun 2002 - Q3
2960

A fair cubical die with faces numbered 1, 1, 1, 2, 3, 4 is thrown and the score noted. The area A of a square of side equal to the score is calculated, so, for example, when the score on the die is 3, the value of A is 9.

(i) Draw up a table to show the probability distribution of A.

(ii) Find E(A) and Var(A).

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