Evaluation Two balls are drawn in succession without replacement from an urn containing 5 red balls and 6 blue balls. Let X be the random variable representing the number of blue balls. Find the possible values of the random variable X. Use R to represent the red ball and B to represent the blue ball. Complete the table below. Possible Outcomes Value of the Random Variable X (number of blue balls)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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NOTE: please answer the “EVALUATION”
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)
NNN
0
NND
1
NDN
1
DNN
1
NDD
2
DND
2
DDN
2
DDD
3
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}.
Evaluation
Two balls are drawn in succession without replacement from an urn containing 5 red balls and 6 blue
balls. Let X be the random variable representing the number of blue balls. Find the possible values of the random
variable X. Use R to represent the red ball and B to represent the blue ball. Complete the table below.
Possible Outcomes
Value of the Random Variable X
(number of blue balls)
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) NNN 0 NND 1 NDN 1 DNN 1 NDD 2 DND 2 DDN 2 DDD 3 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}. Evaluation Two balls are drawn in succession without replacement from an urn containing 5 red balls and 6 blue balls. Let X be the random variable representing the number of blue balls. Find the possible values of the random variable X. Use R to represent the red ball and B to represent the blue ball. Complete the table below. Possible Outcomes Value of the Random Variable X (number of blue balls)
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