EE304 - Assignment 1 Solutions
Question 1
E, F and G are events with P (E) = 0.65, P (F ) = 0.4, P (G) = 0.6,
P (EF G) = 1. Further, P (EF ) = 0.3, P (EG) = 0.35, P (F G) = 0.2.
Calculate:
(i) P (E F );
Solution:
P (E F ) = P (E) + P (F ) P (E F )
= 0.65
EE304 Probability and Statistics - Tutorial 2 Solutions
Question 1
(i) A country has 7 major cities. Each pair of these cities is connected by a
direct rail link. How many rail links are needed?
Solution: The number of rail links is equal to the total num
The Normal or Gaussian Distribution
November 3, 2010
The Normal or Gaussian Distribution
The Normal Distribution
The normal distribution is one of the most commonly used
probability distribution for applications.
1
When we repeat an experiment numerous ti
The Poisson Distribution
October 20, 2010
The Poisson Distribution
Poisson Distribution
In many practical situations we are interested in measuring how
many times a certain event occurs in a specic time interval or in a
specic length or area. For instance
EE304 Probability and Statistics - Tutorial 2
Question 1
(i) A country has 7 major cities. Each pair of cities is connected by a direct
rail link. How many rail links are needed?
(ii) How many distinct arrangements of the word allegorical are possible?
(i
EE304 Probability and Statistics - Tutorial 1 Solutions
Question 1
A fair coin is tossed three times. What is the probability of getting:
(i) exactly two heads?
Solution:
There are a total of 2 2 2 = 8 possible outcomes. The outcomes corresponding to exac
EE304 Probability and Statistics - Tutorial 1
Question 1
A fair coin is tossed three times. What is the probability of getting:
(i) exactly two heads?
(ii) exactly 1 tail?
(iii) at least 1 tail?
Question 2
A 4 sided fair die is thrown twice. What is the p
The Binomial Distribution
October 20, 2010
The Binomial Distribution
Bernoulli Trials
Denition
A Bernoulli trial is a random experiment in which there are only
two possible outcomes - success and failure.
1
Tossing a coin and considering heads as success
Some Simple Counting Rules
EE304 - Probability and Statistics
Semester 1
Some Simple Counting Rules
Counting
If all outcomes are equally likely, the probability of an event E is
given by
|E |
|S|
where |E | (|S|) denotes the number of elements in E (S).
T
EE304 - Tutorial 3 Solutions
Question 1
A communications system sends the bits 1 and 0 over a noisy channel. 52% of
all bits transmitted are 1. The probability of a transmitted 1 being received
as a 0 is 0.06 while the probability of a transmitted 0 being