If E[X]=0 and Var(X)=3, then E[(2+3X)2]= and Var(1+5X)=

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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Part 1. If E[X]=0 and Var(X)=3, then
E[(2+3X)2]=
and
Var(1+5X)=

Part 2. Suppose it is believed that the probability a patient will recover from a disease following medication is 0.9. In a group of ten such patients, the number who recover would have mean and variance respectively given by (to one decimal place):
Variance=

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