An automaker is concerned about the possible recall of its best-selling four-door sedan. If there is a recall, there is a 6.58% defect in the brake system, 11.97 in the transmission, 9.99 in the fuel system, and 35.98 in some other area. What is the probability that there is no defect in the brakes or the fuel system if the percentage of simultaneous defects in both systems is 11.71? Tip: This problem can be solved using the additive r

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
icon
Related questions
icon
Concept explainers
Question

An automaker is concerned about the possible recall of its best-selling four-door sedan. If there is a recall, there is a 6.58% defect in the brake system, 11.97 in the transmission, 9.99 in the fuel system, and 35.98 in some other area. What is the probability that there is no defect in the brakes or the fuel system if the percentage of simultaneous defects in both systems is 11.71?

Tip: This problem can be solved using the additive rule of the probability 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Conditional Probability, Decision Trees, and Bayes' Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning