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The random variable X takes the values −2, 0 and 4 only. It is given that P(X=−2) = 2p, P(X= 0) =p and P(X= 4) = 3p.(i) Find p. (ii) Find E(X ) and Var(X ).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Question

The random variable X takes the values −2, 0 and 4 only. It is given that P(X=−2) = 2p, P(X= 0) =p and P(X= 4) = 3p.(i) Find p.

(ii) Find E(X ) and Var(X ).

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