Two boxes each contain three cards. The first box contains cards labelled 1,3 and 5; the second box contains cards labelled 2,6 and 8. In a game, a player draws one card at random from each box and his score ,is the sum of the numbers on the two cards (i) Obtain the probability distribution for the random variable X (ii) Calculate E[X ], E[X^2] and variance of X (iii) Calculate the median and mode of X

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Two boxes each contain three cards. The first box contains cards labelled
1,3 and 5; the second box contains cards labelled 2,6 and 8. In a game, a
player draws one card at random from each box and his score ,is the
sum of the numbers on the two cards
(i) Obtain the probability distribution for the random variable X
(ii) Calculate E[X ], E[X^2] and variance of X
(iii) Calculate the median and mode of X

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