(20 points) Let Y be a random variable for which Prob(Y= k) = c(1/3)k for k = 0, 1, 2, ... . a. Compute c. b. Determine

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20 Points Let Y Be A Random Variable For Which Prob Y K C 1 3 K For K 0 1 2 A Compute C B Determine 1 (51.13 KiB) Viewed 10 times

(20 points) Let Y be a random variable for which Prob(Y= k) = c(1/3)k for k = 0, 1, 2, ... . a. Compute c. b. Determine Prob(Y is even). c. Determine Prob(Y is a power of 4). d. Determine Prob(Y is a power of 4 Hint: Recall that for any real number x € (-1, 1) we have that is even). 1 + x + x² + x³ + = Σa Ich Ji = 1 1-x