Dr. Miriam Johnson has been teaching accounting for over 12 years. From her experience, she knows that 70% of her students do homework regularly. Moreover, 96% of the students who do their homework reqularly pass the course. She also knows that 86% 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? Probability 0.57 X b. What is the probability that a student will neither do homework regularly nor will pass the course? Probability 0.88 c. Are the events "pass the course" and "do homework regularly" mutually exclusive? O Yes because PBIA) = PB). No because PBIA) # PB). Yes because PAN B = 0. O O No because PAN B) # 0. d. Are the events "pass the course" and "do homework regularly" independent? O Yes because PBIA) = P(B). O No because PBI A) # PB). O O Yes because PAN B) = 0. No because PAN B)#0.

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Dr. Miriam Johnson has been teaching accounting for over 12 years. From her experience, she knows that 70% of her students do
homework regularly. Moreover, 96% of the students who do their homework reqularly pass the course. She also knows that 86% 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?
Probability
0.57 X
b. What is the probability that a student will neither do homework regularly nor will pass the course?
Probability
0.88
c. Are the events "pass the course" and "do homework regularly" mutually exclusive?
O Yes because PBIA) = PB).
No because PBIA) # PB).
O Yes because PAN B) = 0.
O No because PAN B) # 0.
d. Are the events "pass the course" and "do homework regularly" independent?
O Yes because PBI A) = P(B).
O No because PBI A) # RB). O
O Yes because PANB = 0.
No because PAN B) #0.
Transcribed Image Text:Dr. Miriam Johnson has been teaching accounting for over 12 years. From her experience, she knows that 70% of her students do homework regularly. Moreover, 96% of the students who do their homework reqularly pass the course. She also knows that 86% 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? Probability 0.57 X b. What is the probability that a student will neither do homework regularly nor will pass the course? Probability 0.88 c. Are the events "pass the course" and "do homework regularly" mutually exclusive? O Yes because PBIA) = PB). No because PBIA) # PB). O Yes because PAN B) = 0. O No because PAN B) # 0. d. Are the events "pass the course" and "do homework regularly" independent? O Yes because PBI A) = P(B). O No because PBI A) # RB). O O Yes because PANB = 0. No because PAN B) #0.
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