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]

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]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 30E

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Question

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].

(d) Find P[V > 2] .

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