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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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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