Consider a random variable X with the following probability mass func- tion: Px(k) = 6 k...

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Consider a random variable X with the following probability mass func- tion: Px(k) = 6 k = 1, 2,.... (a) Show that pr(k) is a legitimate probability mass function. (b) Compute the expectation. Does it converge? (c) Using R, compute the value of expectation. You may truncate the infinite series after some terms. What is the truncation error? Is it negligible? Consider a random variable X with the following probability mass func- tion: Px(k) = 6 k = 1, 2,.... (a) Show that pr(k) is a legitimate probability mass function. (b) Compute the expectation. Does it converge? (c) Using R, compute the value of expectation. You may truncate the infinite series after some terms. What is the truncation error? Is it negligible?