1X and Y are independent random variables with E(X) = 3, E(Y) = 2, Var(X) 2, and %3D %3D Var(Y) = 4. Find the following: %3! a. Var(2X – 3) b. Var(2X – 3Y)
1X and Y are independent random variables with E(X) = 3, E(Y) = 2, Var(X) 2, and %3D %3D Var(Y) = 4. Find the following: %3! a. Var(2X – 3) b. Var(2X – 3Y)
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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Transcribed Image Text:1X and Y are independent random variables with E(X) = 3, E(Y) = 2, Var(X) = 2, and
= 4. Find the following:
!!
Var(Y)
a. Var(2X – 3)
b. Var(2X – 3Y)
2. Toss a pair of dice. Let X denote the sum of numbers on the two dice. Find Var(X).
3. The number of adults living in homes on a randomly selected city block is described
by the following probability distribution:
No. of adults, X
2
3
4
P(X = x)
0.12
0.42
0.31
0.15
What is the variance of this distribution?
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