Practice Exercise Suppose three coins are tossed. Let X be the random variable representing the number of tails that occur. Find the possible values of the random variable X. Complete the table below. Use H to represent the head and T to represent the tail.
Practice Exercise Suppose three coins are tossed. Let X be the random variable representing the number of tails that occur. Find the possible values of the random variable X. Complete the table below. Use H to represent the head and T to represent the tail.
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 answer the “PRACTICE EXERCISE”
Transcribed Image Text:RANDOM VARIABLE
Objective
At the end of this Learning Activity Sheet, the learner must be able to find the possible values of a random
variable.
Learning Activity
Suppose three cellphones are tested at random. We want to find out the number of defective cellphones
that occur. Thus, to each outcome in the sample space we shall assign a value. These are 0, 1, 2, or 3. If there
is no defective cellphone, we assign the number 0; if there is one defective cellphone, we assign the number 1;
if there are two defective cellphones, we assign the number 2; and 3 if there are three defective cellphones. The
number of defective cellphones is a random variable. The possible values of this random variable are 0, 1, 2,
and 3.
Illustration:
Let D represent the defective cellphone and N represent the non-defective cellphone. The table below
shows the values of the random variable if we let X be the random variable representing the number of defective
cellphones.
Possible Outcomes
Value of the Random Variable X
(number of defective cellphones)
0
NNN
NND
NDN
1
DNN
1
NDD
2
DND
2
DDN
2
DDD
So, the possible values of the random variable X are 0, 1, 2, and 3.
Note: The set of all possible outcomes of an experiment is called the sample space.
That is, S = {NNN, NND, NDN, DNN, NDD, DND, DDN, DDD}.
Practice Exercise
Suppose three coins are tossed. Let X be the random variable representing the number of tails that occur.
Find the possible values of the random variable X. Complete the table below. Use H to represent the head and
T to represent the tail.
Possible Outcomes
Value of the Random Variable X
(number of tails)
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