Dr. Miriam Johnson has been teaching accounting for over 20 years. From her experience, she knows that 60% of her students do homework regularly. Moreover, 95% of the students who do their homework regularly pass the course. She also knows that 85% of her students pass the course. Let event A be “Do homework regularly” and B be “Pass the course”. a. What is the probability that a student will do homework regularly and also pass the course? (Round your answer to 2 decimal places.) b. What is the probability that a student will neither do homework regularly nor pass the course? (Round your answer to 2 decimal places.) c. Are the events “pass the course” and “do homework regularly” mutually exclusive? multiple choice 1 Yes because P(B | A) = P(B). No because P(B | A) ≠ P(B). Yes because P(A ∩ B) = 0. No because P(A ∩ B) ≠ 0. d. Are the events “pass the course” and “do homework regularly” independent? multiple choice 2 Yes because P(B | A) = P(B). No because P(B | A) ≠ P(B). Yes because P(A ∩ B) = 0. No because P(A ∩ B) ≠ 0.
Dr. Miriam Johnson has been teaching accounting for over 20 years. From her experience, she knows that 60% of her students do homework regularly. Moreover, 95% of the students who do their homework regularly pass the course. She also knows that 85% of her students pass the course. Let event A be “Do homework regularly” and B be “Pass the course”. a. What is the probability that a student will do homework regularly and also pass the course? (Round your answer to 2 decimal places.) b. What is the probability that a student will neither do homework regularly nor pass the course? (Round your answer to 2 decimal places.) c. Are the events “pass the course” and “do homework regularly” mutually exclusive? multiple choice 1 Yes because P(B | A) = P(B). No because P(B | A) ≠ P(B). Yes because P(A ∩ B) = 0. No because P(A ∩ B) ≠ 0. d. Are the events “pass the course” and “do homework regularly” independent? multiple choice 2 Yes because P(B | A) = P(B). No because P(B | A) ≠ P(B). Yes because P(A ∩ B) = 0. No because P(A ∩ B) ≠ 0.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Dr. Miriam Johnson has been teaching accounting for over 20 years. From her experience, she knows that 60% of her students do homework regularly. Moreover, 95% of the students who do their homework regularly pass the course. She also knows that 85% of her students pass the course. Let event A be “Do homework regularly” and B be “Pass the course”.
a. What is theprobability that a student will do homework regularly and also pass the course? (Round your answer to 2 decimal places.)
b. What is the probability that a student will neither do homework regularly nor pass the course? (Round your answer to 2 decimal places.)
c. Are the events “pass the course” and “do homework regularly” mutually exclusive?
multiple choice 1
d. Are the events “pass the course” and “do homework regularly” independent?
multiple choice 2
a. What is the
b. What is the probability that a student will neither do homework regularly nor pass the course? (Round your answer to 2 decimal places.)
c. Are the events “pass the course” and “do homework regularly” mutually exclusive?
multiple choice 1
-
Yes because P(B | A) = P(B).
-
No because P(B | A) ≠ P(B).
-
Yes because P(A ∩ B) = 0.
-
No because P(A ∩ B) ≠ 0.
d. Are the events “pass the course” and “do homework regularly” independent?
multiple choice 2
-
Yes because P(B | A) = P(B).
-
No because P(B | A) ≠ P(B).
-
Yes because P(A ∩ B) = 0.
-
No because P(A ∩ B) ≠ 0.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON