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).

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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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