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A discrete random variable Y has probability distribution given in the table below. Y 1 2 3 P(Y=y) 0.3 a a) Given E(Y) =1.5, find the value of a and b. answer, a=0.6 & b=0.1 b) Calculate P (Y > 1). answer =0.4 c) Compute E (Y) and variance of Y. answer, E (y2) = 2.7 & variance y =0.45 d) Calculate V (3Y+2).

A discrete random variable Y has probability distribution given in the table below. Y 1 2 3 P(Y=y) 0.3 a a) Given E(Y) =1.5, find the value of a and b. answer, a=0.6 & b=0.1 b) Calculate P (Y > 1). answer =0.4 c) Compute E (Y) and variance of Y. answer, E (y2) = 2.7 & variance y =0.45 d) Calculate V (3Y+2).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A discrete random variable Y has probability distribution given in the table below. Y 1 2 P(Y=y) 0.3 a) Given E(Y)=1.5, find the value of a and b. answer, a=0.6 & b=0.1 b) Calculate P (Y > 1). answer =0.4 c) Compute E (Y) and variance of Y. answer, E (y2) = 2.7 & variance y =0.45 d) Calculate V (3Y+2).
Transcribed Image Text:A discrete random variable Y has probability distribution given in the table below. Y 1 2 P(Y=y) 0.3 a) Given E(Y)=1.5, find the value of a and b. answer, a=0.6 & b=0.1 b) Calculate P (Y > 1). answer =0.4 c) Compute E (Y) and variance of Y. answer, E (y2) = 2.7 & variance y =0.45 d) Calculate V (3Y+2).
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