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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 38E
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Please answer the “PRACTICE EXERCISE”
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)
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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