Explanation Given Information: A three-digit bar code is randomly selected by a computer with each digit can be 0 or 1. The random variable x is defined as the number of 1’s in the bar code. Formula used: The probability of a random variable x is defined as, P ( x ) = n ( x ) n ( S ) Here, n ( x ) is the frequency of x and n ( S ) is the number of outcomes in S . Calculation: Consider that a three-digit bar code is randomly selected by a computer with each digit can be 0 or 1. Define the random variable x as the number of 1’s in the bar code. For a three-digit bar code selected randomly by a computer with digit as either 0 or 1, there will be 7 possible outcomes for the three-digit bar code. So, the sample space is: S = { 000 , 001 , 010 , 011 , 100 , 101 , 110 , 111 } Thus, the sample space is S = { 000 , 001 , 010 , 011 , 100 , 101 , 110 , 111 } . As the random variable x is defined as the number of 1’s in the bar code, the possible values of number of occurrence of 1’s in all the outcomes are 0 , 1 , 2 , 3 . To find the frequencies, count the number of occurrence of 1’s in all the outcomes in the sample space. For x = 0 , that is no 1’s in the bar code, the number of outcomes without the digit 1 is one. For x = 1 , the number of outcomes with digit 1 occurring once is three. For x = 2 , the number of outcomes with digit 1 occurring twice is three. For x = 3 , the number of outcomes with digit 1 occurring thrice is one

Calculus: An Applied Approach (MindTap Course List)

10th Edition

ISBN: 9781305860919

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 9, Problem 7RE

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To calculate: The probability distribution of the random variable x which is defined as the number of 1’s in the three-digit bar code with each digit being 0 or 1 using the frequency distribution.

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Calculus: An Applied Approach (MindTap Course List)

Ch. 9.1 - Checkpoint 1 Worked-out solution available at...Ch. 9.1 - Prob. 2CP Ch. 9.1 - Prob. 3CP Ch. 9.1 - Prob. 4CP Ch. 9.1 - Prob. 5CP Ch. 9.1 - Prob. 6CP Ch. 9.1 - Prob. 1SWU Ch. 9.1 - Prob. 2SWU Ch. 9.1 - Prob. 3SWU Ch. 9.1 - Prob. 4SWU

Ch. 9.1 - Prob. 5SWU Ch. 9.1 - Prob. 6SWU Ch. 9.1 - Prob. 7SWU Ch. 9.1 - Prob. 8SWU Ch. 9.1 - Prob. 9SWU Ch. 9.1 - Prob. 10SWU Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Random Selection A card is chosen at random from a...Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E Ch. 9.1 - Identifying Probability Distributions In Exercises...Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Using Probability Distributions In Exercises 1518,...Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Children The table shows the probability...Ch. 9.1 - Prob. 21E Ch. 9.1 - Die Roll Consider the experiment of rolling a...Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Personal Income The probability distribution of...Ch. 9.1 - Insurance An insurance company needs to determine...Ch. 9.1 - 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Prob. 38E Ch. 9.3 - Prob. 39E Ch. 9.3 - Prob. 40E Ch. 9.3 - Transportation The arrival time t (in minutes) of...Ch. 9.3 - Prob. 42E Ch. 9.3 - Prob. 43E Ch. 9.3 - Prob. 44E Ch. 9.3 - Prob. 45E Ch. 9.3 - License Renewal The waiting time t (in minutes) at...Ch. 9.3 - Demand The daily demand x for a certain product...Ch. 9.3 - Prob. 48E Ch. 9.3 - Demand The daily demand x for water (in millions...Ch. 9.3 - Prob. 50E Ch. 9.3 - Prob. 54E Ch. 9.3 - Prob. 55E Ch. 9.3 - Education For high school graduates from 2012...Ch. 9.3 - Prob. 57E Ch. 9 - Prob. 1RE Ch. 9 - Prob. 2RE Ch. 9 - Prob. 3RE Ch. 9 - Prob. 4RE Ch. 9 - Prob. 5RE Ch. 9 - Prob. 6RE Ch. 9 - Prob. 7RE Ch. 9 - Prob. 8RE Ch. 9 - Prob. 9RE Ch. 9 - Prob. 10RE Ch. 9 - Prob. 11RE Ch. 9 - Prob. 12RE Ch. 9 - Prob. 13RE Ch. 9 - Prob. 14RE Ch. 9 - Prob. 15RE Ch. 9 - Prob. 16RE Ch. 9 - Revenue A publishing company introduces a new...Ch. 9 - Prob. 18RE Ch. 9 - Prob. 19RE Ch. 9 - Prob. 20RE Ch. 9 - Prob. 21RE Ch. 9 - Prob. 22RE Ch. 9 - Prob. 23RE Ch. 9 - 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The probability distribution of the random variable x which is defined as the number of 1’s in the three-digit bar code with each digit being 0 or 1 using the frequency distribution.

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To calculate: The probability distribution of the random variable x which is defined as the number of 1’s in the three-digit bar code with each digit being 0 or 1 using the frequency distribution.

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Chapter 9 Solutions