1. The probability mass function of a discrete random variable X is defined by1+ kxx = 0,1,2,3,0 . otherwise.f(x) =22(a) Obtain the value of the constant k.(b) Write down the probability distribution of X.(c) Find E (X) and Var(X)(d) Calculate the values of E(11X – 4) and Var(11X - 4).

Introduction :- We are given the p.m.f of discrete random variable X We have to find Value of k…

1. The probability mass function of a discrete random variable X is defined by , x = 0,1,2,3, 1+ kx S(x) = 22 , otherwise. (a) Obtain the value of the constant k. (b) Write down the probability distribution of X. (c) Find E(X) and Var(X) (d) Calculate the values of E(11X – 4) and Var(11X - 4).

1. The probability mass function of a discrete random variable X is defined by , x = 0,1,2,3, 1+ kx S(x) = 22 , otherwise. (a) Obtain the value of the constant k. (b) Write down the probability distribution of X. (c) Find E(X) and Var(X) (d) Calculate the values of E(11X – 4) and Var(11X - 4).

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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Question

1. The probability mass function of a discrete random variable X is defined by
1+ kx
x = 0,1,2,3,
0 . otherwise.
f(x) =
22
(a) Obtain the value of the constant k.
(b) Write down the probability distribution of X.
(c) Find E (X) and Var(X)
(d) Calculate the values of E(11X – 4) and Var(11X - 4).

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