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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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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