16. Suppose that the probability that Bob has a flat tire is 20%. Also, suppose that the probability that Bob h both a flat tire and a transmission failure is 16%. Find the probability Bob will have a transmission failure if has a flat tire. A. 0.80 В. О.82 C. 0.84 D. 0.86
16. Suppose that the probability that Bob has a flat tire is 20%. Also, suppose that the probability that Bob h both a flat tire and a transmission failure is 16%. Find the probability Bob will have a transmission failure if has a flat tire. A. 0.80 В. О.82 C. 0.84 D. 0.86
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Problem 16:**
Suppose that the probability that Bob has a flat tire is 20%. Also, suppose that the probability that Bob has both a flat tire and a transmission failure is 16%. Find the probability Bob will have a transmission failure if he has a flat tire.
**Options:**
A. 0.80
B. 0.82
C. 0.84
D. 0.86
This is a conditional probability problem where you need to find the probability of a transmission failure given that there is a flat tire. Use the formula for conditional probability:
\[ P(\text{Transmission Failure} \mid \text{Flat Tire}) = \frac{P(\text{Flat Tire and Transmission Failure})}{P(\text{Flat Tire})} \]
\[ P(\text{Transmission Failure} \mid \text{Flat Tire}) = \frac{0.16}{0.20} = 0.80 \]
The correct answer is **A. 0.80**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F989374ce-3c35-4f4d-b4d6-005e01ca096b%2F38ba001e-7492-4a44-b2f9-4dbf18ba4ba2%2Fadp5ljt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 16:**
Suppose that the probability that Bob has a flat tire is 20%. Also, suppose that the probability that Bob has both a flat tire and a transmission failure is 16%. Find the probability Bob will have a transmission failure if he has a flat tire.
**Options:**
A. 0.80
B. 0.82
C. 0.84
D. 0.86
This is a conditional probability problem where you need to find the probability of a transmission failure given that there is a flat tire. Use the formula for conditional probability:
\[ P(\text{Transmission Failure} \mid \text{Flat Tire}) = \frac{P(\text{Flat Tire and Transmission Failure})}{P(\text{Flat Tire})} \]
\[ P(\text{Transmission Failure} \mid \text{Flat Tire}) = \frac{0.16}{0.20} = 0.80 \]
The correct answer is **A. 0.80**.
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