Random variable X has PMF PX(x) = a2 x for x = 1, 2, 3, 4; and PX(x) = 0 otherwise. Random variable X has PMF PX(x) = a2 x for x = 1, 2, 3, 4; and PX(x) = 0 otherwise. a) Find the value of constant a.b) Find P[X < 3].c) Find the probability that X is odd.d) Find P[1 < X < 4].

Answered: a) Find the value of constant a. b)…

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a) Find the value of constant a. b) Find P[X < 3]. c) Find the probability that X is odd. d) Find P[1 < X < 4].

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 9E

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Question

Random variable X has PMF PX(x) = a2 x for x = 1, 2, 3, 4; and PX(x) = 0 otherwise. Random variable X has PMF PX(x) = a2 x for x = 1, 2, 3, 4; and PX(x) = 0 otherwise.

a) Find the value of constant a.
b) Find P[X < 3].
c) Find the probability that X is odd.
d) Find P[1 < X < 4].

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