Hint for problem 8 in Webwork HW 8
Question 8: Let A, B, and C be independent random variables, uniformly distributed
over [0, 10], [0, 7], and [0, 9], respectively. What is the probability that both
[Chapter 6. Functions of
Random Variables]
6.1 Introduction
6.2 Finding the probability distribution of a
function of random variables
6.3 The method of distribution functions
6.5 The method of Moment
[Chapter 5. Multivariate
Probability Distributions]
5.1 Introduction
5.2 Bivariate and Multivariate probability distributions
5.3 Marginal and Conditional probability distributions
5.4 Independent ran
[Chapter 5. Multivariate
Probability Distributions]
5.1 Introduction
5.2 Bivariate and Multivariate probability distributions
5.3 Marginal and Conditional probability distributions
5.4 Independent ran
Chapter 4. Continuous Random
Variables and Their Probability
Distributions
4.1 Introduction
4.2 The Probability distribution for a continuous random variable
4.3 Expected value for continuous random v
Chapter 3. Discrete Random Variables
and Their Probability Distributions
1
3.4-3 The Binomial random variable
The Binomial random variable is related to binomial experiments
(Def 3.6)
1. The experimen
Chapter 3. Discrete Random Variables
and Their Probability Distributions
1
2.11 Denition of random variable
It frequently occurs that we are mainly interested in some functions of the outcomes as
oppo
2.7 Conditional probability
1
(Def 2.9) The conditional probability of an
event A, given that an event B has occurred
(simply probability of A given B), is equal to
P (A B)
P (A|B) =
P (B)
provided P
(Def 2.6) [Denition of probability] Suppose S
is a sample space associated with an experiment. To every event A in S(A is a subset
of S) we assign a number, P (A), called the
probability of A, so that
Statistics I
Zheng Wei
[email protected]
Department of Mathematics and Statistics
University of Massachusetts Amherst
(Example-1) Count/discrete data: the daily
number of computer stoppages over 30 d