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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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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
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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.
 
 
 
 
 
 
 
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