a. The following table shows the probability distribution for the random variable X. i. Show that k

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a. The following table shows the probability distribution for the random variable X.


i. Show that k = 2.

ii. Calculate E(X ) and Var(X ).

iii. Find the probability that two independent observations of X have a sum of less than 6.

b. The following table shows the probability distribution for the random variable Y.


If one independent observation of each random variable is made, find the probability that X +Y = 3.

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