Concept explainers
a.
To calculate: The probability that bill accepted by changer is legal.
a.
Answer to Problem 13CFU
The probability that bill accepted by changer is legal is
Explanation of Solution
Given information:
100 $1- bills were tested and 25 of the bills were counterfeit.
Formula used:
Probability of an event E is
Given an event Q, the conditional probability of event A is
Calculation:
Consider the provided information that 100 $1- bills were tested and 25 of the bills were counterfeit.
Total number of bills are 100.
Let A be an event that bill is legal and B be an event that bill is accepted.
Recall that probability of an event E is
Probability that bill is accepted is,
Probability that bill is legal and bill is accepted is,
Recall that given an event Q, the conditional probability of event A is
The probability that bill accepted by changer is legal.
Thus, the probability that bill accepted by changer is legal is
b.
To calculate: The probability that bill is rejected provided that bill is legal.
b.
Answer to Problem 13CFU
The probability that bill is rejected provided that bill is legal is
Explanation of Solution
Given information:
100 $1- bills were tested and 25 of the bills were counterfeit.
Formula used:
Probability of an event E is
Given an event Q, the conditional probability of event A is
Calculation:
Consider the provided information that 100 $1- bills were tested and 25 of the bills were counterfeit.
Total number of bills are 100.
Let A be an event that bill is rejected and B be an event that bill is legal.
Recall that probability of an event E is
Probability that bill is legal,
Probability that bill is rejected and bill is legal is,
Recall that given an event Q, the conditional probability of event A is
The probability that bill is rejected provided that bill is legal.
Thus, the probability that bill is rejected provided that bill is legal is
c.
To calculate: The probability that a counterfeit bill is not rejected.
c.
Answer to Problem 13CFU
The probability that a counterfeit bill is not rejected is
Explanation of Solution
Given information:
100 $1- bills were tested and 25 of the bills were counterfeit.
Formula used:
Probability of an event E is
Given an event Q, the conditional probability of event A is
Calculation:
Consider the provided information that 100 $1- bills were tested and 25 of the bills were counterfeit.
Total number of bills are 100.
Let A be an event that bill is not rejected and B be an event that bill is counterfeit.
Recall that probability of an event E is
Probability that bill is counterfeit,
Probability that bill is not rejected and bill is counterfeit is,
Recall that given an event Q, the conditional probability of event A is
The probability that a counterfeit bill is not rejected.
Thus, the probability that a counterfeit bill is not rejected is
Chapter 13 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
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