UCCD1143 Probability and
Statistics for Computing
A secret group Probability@UTAR has been opened.
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Continuous Random Variables
In concept, the treatment of a continuous random variable does not differ from that of a discrete
random variable. However, we have to be extremely careful when dealing with the real numbers,
lest we run into problems
So far, we have discussed probabilities from the angle of the mechanisms that generate them. In
some cases, we know these mechanisms very well for example, in dice throws or poker games
in which case, we can often cal
Discrete Random Variables
Definition 1 A random variable is a function of an outcome, X = f (). In other words, it is
a quantity that depends on chance.
The domain of a random variable is the sample space . Its range can be the
Homework 3: Discrete Random Variables
Every day, the number of network blackouts has a distribution (probability mass function)
P(x) 0.7 0.2 0.1
A small internet trading company estimates that each network blackout results in $500 loss.
Review Counting Problems
The first 20 problems or so are ones that you should be able to work relatively quickly.
1. How many ways are there to select 5 women from 16 husband/wife teams?
2. How many ways are there to arrange the 7 let
Tutorial one: Simple probability rules.
In this tutorial, for calculating probability, you can only use + for mutually exclusive events (outcomes),
for independent events (outcomes), and Pcfw_A=1-Pcfw_ A , for any event A in a defined sample space.
A simple communications system sends the two symbols 0, 1 over a noisy channel. 55% of all the
bits transmitted are 0.
If the probability of a bit being received incorrectly is 0.05, calculate the probability that a
1 is rec
Homework 4: Discrete Random Variables (Again!)
There is one error in one of five blocks of a program. To find the error, we test three randomly
selected blocks. Let X be the number of errors in these three blocks. Compute E(X) and Var(X).
The computer with internet access is one modern
day convenience I cannot do without. Give your
opinion. You should write at least 350 words.
Like most people living in urban areas, I have , to
a large extent, taken many modern day
conveniences for granted