Consider the function defined as follows 1 1(k) = for k1. k(k+1) a) Determine the partial...

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Consider the function defined as follows 1 1(k) = for k≥1. k(k+1) a) Determine the partial sum Un = Σk=1(k). b) Calculate limn→∞ Un c) Verify that is a probability mass function. Let X be a random variable with probability mass function y. P(X = k) = (k), with k≥1 Determine a) the probability that the event {X = 2} occurs. c) the probability of the event (X ≤ 2}. Consider the function defined as follows 1 1(k) = for k≥1. k(k+1) a) Determine the partial sum Un = Σk=1(k). b) Calculate limn→∞ Un c) Verify that is a probability mass function. Let X be a random variable with probability mass function y. P(X = k) = (k), with k≥1 Determine a) the probability that the event {X = 2} occurs. c) the probability of the event (X ≤ 2}.

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Explanation To decide the fractional aggregate Unk1k we can just module the upsides of k from 1 to n ... View the full answer