Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.70 and P(B) = 0.30. If an amount is zero, enter "0". a. What is P(AB)? b. What is P(A/B)? c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer. -Select your answer, because P(A/B)-Select your answer ✓ P(A).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 21E
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Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.70 and P(B) = 0.30.
If an amount is zero, enter "0".
a. What is P(An B)?
b. What is P(A/B)?
c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem
to justify your answer.
- Select your answer - V
because P(A/B) - Select your answer -
P(A).
d. What general conclusion would you make about mutually exclusive and independent events given the results of this problem?
- Select your answer
Transcribed Image Text:Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.70 and P(B) = 0.30. If an amount is zero, enter "0". a. What is P(An B)? b. What is P(A/B)? c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer. - Select your answer - V because P(A/B) - Select your answer - P(A). d. What general conclusion would you make about mutually exclusive and independent events given the results of this problem? - Select your answer
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