The random variable V has the PMF: PV(v) = c v2, for v = 1,2,3,4, and PV(v) = 0 otherwise. (a) Find the value of the constant c . (b) Let U = {u2 | u = 1,2,3, …}. Find: [V∈U]. (c) Find the probability that V is an even number. (d) Find P[V > 2]

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The random variable V has the PMF: PV(v) = c v2, for v = 1,2,3,4, and PV(v) = 0 otherwise.

(a) Find the value of the constant c .

(b) Let U = {u2 | u = 1,2,3, …}. Find: [V∈U].

(c) Find the probability that V is an even number.

(d) Find P[V > 2] . 

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