Random Variables

Wednesday, 10 October 2018

9:00 PM

A random variable is discrete if its image (the range of the variable as a function) is countable

 

Probability Distribution of a discrete random variable - function

 

 for

 

Cumulative distribution function of a random variable  given by
 for

 

Let  be the random variable that counts the number of heads in four tosses of a coin

  1. Find the probability distribution of X

0

1

2

3

4

1/16

4/16

6/16

4/16

1/16

  1. Sketch the probability distribution

-> Line graph

 

  1. Sketch the probability histogram

-> Bar graph, with points at centre
-> The area of columns is proportional to the probability given by the area

 

Created with Microsoft OneNote 2016.