ST235: Probability
Problems Sheet 2 : Probability Rules
1. Suppose A and B are mutually exclusive events for which P (A) = 0.3 and P (B) = 0.5.
What is the probability that
(a)
(b)
(c)
(d)
(e)
either
ST235: Probability
Problems Sheet 4 Transformations of Random Variables,
Expectation & Moment Generating Functions
1. If X is uniformly distributed over (0,1), find the probability density function of
ST235: Probability
Problems Sheet 1 : Counting
1. How many different letter arrangements can be made from the words
(a) democrat;
(b) propose;
(c) mississippi?
2. In how many ways can 8 people be seat
ST235: Probability
Problems Sheet 3 Random Variables
1. A certain historical document is known to have been written by either author A or author
B. Until now, it was thought equally likely to have bee
Chapter 2
Introduction to Probability
2.1
2.1.1
Sample spaces, events and sets
Introduction
Probability is the language we use to model uncertainty. The data and examples we looked at in the
last chap
Probability
Bottling Plant
A bottling plant has 3 machines A1 , A2 , and A3 with production split as
follows:
A1 provides 50% of production
A2 provides 30% of production
A3 provides 20% of production
MA235: 1
Prussian Cavalry Ocer Deaths
Deaths of Prussian cavalry ocers from
horsekicks.
Data from 10 corps for 20 years.
Deaths
No of
Years
0
1
2
3
4
>5
109
65
22
3
1
0
Total
200
Slide 1
Flying Bomb H
08/09/2016
1. Coun(ng
1.1 Fundamental Theorem
If a job consists of k separate tasks, the ith of
which can be done in ni ways, i=1,2,k, then
the enAre job can be done in
n1 x n2 x x nk ways