11. Suppose that the probability that Bob eats an apple at lunch is 8%. Also, suppose that the probability that Bob eats a pear at lunch is 13%. Also, suppose that the probability that Bob eats both an apple and a pear at lunch is 2%. Find the probability that Bob will either eat an apple or a pear or both at lunch. A. 0.17 В. О.19 С. 0.21 D. 0.23
11. Suppose that the probability that Bob eats an apple at lunch is 8%. Also, suppose that the probability that Bob eats a pear at lunch is 13%. Also, suppose that the probability that Bob eats both an apple and a pear at lunch is 2%. Find the probability that Bob will either eat an apple or a pear or both at lunch. A. 0.17 В. О.19 С. 0.21 D. 0.23
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
![**Question 11:**
Suppose that the probability that Bob eats an apple at lunch is 8%. Also, suppose that the probability that Bob eats a pear at lunch is 13%. Also, suppose that the probability that Bob eats both an apple and a pear at lunch is 2%. Find the probability that Bob will either eat an apple or a pear or both at lunch.
Options:
- A. 0.17
- B. 0.19
- C. 0.21
- D. 0.23
**Explanation:**
To find the probability that Bob will eat either an apple or a pear or both, we can use the principle of inclusion-exclusion. The formula is:
\[ P(A \cup P) = P(A) + P(P) - P(A \cap P) \]
Where:
- \( P(A) \) = Probability of eating an apple = 0.08
- \( P(P) \) = Probability of eating a pear = 0.13
- \( P(A \cap P) \) = Probability of eating both an apple and a pear = 0.02
Plug the values into the formula:
\[ P(A \cup P) = 0.08 + 0.13 - 0.02 = 0.19 \]
Thus, the probability that Bob will either eat an apple or a pear or both at lunch is 0.19.
Correct answer: B. 0.19](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F989374ce-3c35-4f4d-b4d6-005e01ca096b%2Faf81e3bb-5e16-4328-aad5-2f2e244981a9%2Fakakc8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 11:**
Suppose that the probability that Bob eats an apple at lunch is 8%. Also, suppose that the probability that Bob eats a pear at lunch is 13%. Also, suppose that the probability that Bob eats both an apple and a pear at lunch is 2%. Find the probability that Bob will either eat an apple or a pear or both at lunch.
Options:
- A. 0.17
- B. 0.19
- C. 0.21
- D. 0.23
**Explanation:**
To find the probability that Bob will eat either an apple or a pear or both, we can use the principle of inclusion-exclusion. The formula is:
\[ P(A \cup P) = P(A) + P(P) - P(A \cap P) \]
Where:
- \( P(A) \) = Probability of eating an apple = 0.08
- \( P(P) \) = Probability of eating a pear = 0.13
- \( P(A \cap P) \) = Probability of eating both an apple and a pear = 0.02
Plug the values into the formula:
\[ P(A \cup P) = 0.08 + 0.13 - 0.02 = 0.19 \]
Thus, the probability that Bob will either eat an apple or a pear or both at lunch is 0.19.
Correct answer: B. 0.19
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman