STATS 200A HW2
Problem 1: For a continuous random variable X f (x), prove
(1) E[h(X) + g(X)] = E[h(X)] + E[g(X)].
(2) Var(X) = E(X 2 ) E(X)2 .
(3) E(aX + b) = aE(X) + b and Var(aX + b) = a2 Var(X).
(4
STATS 400 HW4
Problem 1 Suppose an urn has r red balls and b black balls. We randomly pick a ball, and
then put two balls of the same color back into the urn. We repeat this process.
(1) What is the p
STATS 400 HW1 Due Tuesday in class
Problem 1 Suppose we flip a fair coin 5 times independently.
(1) What is the sample space?
A: 32 sequences.
(2) Let X be the number of heads. What is the event X = 3
A Note on Applied Probability
Ying Nian Wu, UCLA Statistics
Fall quarter, 2016
1
Why probability?
According to Maxwell, the true logic of this world is in the calculus of probabilities.
The most funda
PHIL 1404: ETHICS & SOCIAL RESPONSIBILITY
Assignment 3 Week 5
Writer: Anonymous
Introduction
The case study provided is about an online store called Finer Bags, which sell replicas
of handbags origina