2.The discrete Ra ndom Variable X has the pro bability mass func tionI = 1, 2, 4,6P(X = z) = {k(x - 2) z= 8krot herwise'Epil og ue: The TAs cat ch yuu in a trap. If you choo se the best number, they will say you know enough probability and don'tne ed their help. If you dont, they say you lost the game, fair and s qua re.Page 2where k is a consta nt.(a)Find k(b)Find the exact va lue of P(X = 5)(c)Find the exact value of E[X](d)Find the exact va lue of E[X2](e)Caleulate Var(3 – 5X).(f)Is it always true that E[X2] 2 (E[X])2? Give a rea son for your claim

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Description: 2.The discrete Ra ndom Variable X has the pro bability mass func tionI = 1, 2, 4,6P(X = z) = {k(x - 2) z= 8krot herwise'Epil og ue: The TAs cat ch yuu in a trap. If you choo se the best number, they will say you know enough probability and don'tne e

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The discrete Random Variable X has the probability mass function 1=1,2, 4,6 P(X = 2) -k(z – 2) z=8 ot herwise kr "Epilog ue: The TAs cat dh you in a trap. If yeu choese the best number, they will say you knew eneugh probability and des need their help. If you dent, they sa y you lest the game, fair and squa re. Page 2 where k is a consta nt. (a) Find k (b) Find the exact value of P(X = 5) Find the exact value of EX] (e)

The discrete Random Variable X has the probability mass function 1=1,2, 4,6 P(X = 2) -k(z – 2) z=8 ot herwise kr "Epilog ue: The TAs cat dh you in a trap. If yeu choese the best number, they will say you knew eneugh probability and des need their help. If you dent, they sa y you lest the game, fair and squa re. Page 2 where k is a consta nt. (a) Find k (b) Find the exact value of P(X = 5) Find the exact value of EX] (e)

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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