identify the property or properties that are not satisfied. 1. 1 2 0.10 0.20 1 2 0.05 0.25 1 2 0.08 0.25 0 1 3 10 10 2 1 10 5 X P(x) 2. X P(x) 3. X P(x) 4. X P(x) 5. X P(x) 3 0.25 3 0.33 3 0.34 2 1 5 3 3 10 4 0.40 4 0.28 4 0.31 3 4 4 20 5 0.05 5 0.08 5 0.04 4 3 10 5 1 20
identify the property or properties that are not satisfied. 1. 1 2 0.10 0.20 1 2 0.05 0.25 1 2 0.08 0.25 0 1 3 10 10 2 1 10 5 X P(x) 2. X P(x) 3. X P(x) 4. X P(x) 5. X P(x) 3 0.25 3 0.33 3 0.34 2 1 5 3 3 10 4 0.40 4 0.28 4 0.31 3 4 4 20 5 0.05 5 0.08 5 0.04 4 3 10 5 1 20
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please refer to the lesson and answer the activity
Transcribed Image Text:RANDOM VARIABLE
Objective
At the end of this Learning Activity Sheet, the learner must be able to illustrate a probability distribution
for a discrete random variable and its properties.
Learning Activity
A listing of all possible values of a discrete random variable along with their corresponding probabilities
is called discrete probability distribution. The discrete probability distribution can be presented in tabular,
graphical or formula form.
The following properties must be satisfied before a distribution can be considered a discrete probability
distribution:
a. The probability of each value of s discrete random variable is between 0 and 1 inclusive.
0 ≤ P(x) ≤ 1
b. The sum of all the probabilities is 1.
Σ Ρ(x) = 1
Example Consider the table below.
3
X
P(x)
0
0.2
1
0.3
2
0.3
0.2
In the table, the random variable X assumes the values 0, 1, 2, and 3. The corresponding probabilities of
these values are 0.2, 0.3, 0.3, and 0.2, respectively. These corresponding probabilities are each less than 1 but
greater than 0 and when added, the sum is 1. Therefore, the table illustrates a discrete probability distribution.
ΣP(x) = 0.2 + 0.3+0.3 +0.2
= 1
||
Transcribed Image Text:Practice Exercise
Which of the following are discrete probability distributions? If it is not a discrete probability distribution,
identify the property or properties that are not satisfied.
1.
1
2
3
4
5
0.10
0.20
0.25
0.40
0.05
1
2
3
4
5
0.05
0.25
0.33
0.28
0.08
1
2
3
4
5
0.08
0.25
0.34
0.31
0.04
0
1
2
3
4
3
1
3
10
10
5
4
10
1
2
3
4
5
10
5
10
20
20
X
P(x)
2.
X
P(x)
3.
X
P(x)
4.
X
P(x)
5.
X
P(x)
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