QUESTION 3 (20 MARKS)(a) Suppose that the random variable, X, is a number on the biased die and the p.d.f. of X, is as shown below;X1234P(X=x)Find;()1/61/61/5k1/51/6the value of k.(i)E(X)(ii)E(X2)(iv)Var(X)(V)P (1

Answered: Image /qna-images/answer/5cf0ff06-b046-403d-9b33-ac6ce0ae767f.jpg

Answered: (a) Suppose that the random variable,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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(a) Suppose that the random variable, X, is a number on the biased die and the p.d. f. of X, is as shown below; 1 4 5 6 P(X=x) Find; (1) 1/6 1/6 1/5 k 1/5 1/6 the value of k. (ii) E(X) (ii) E(X2) (iv) Var(X) (v) P(1