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Event X and event Y are independent. The probability of even
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24 Oct 2017, 01:05
24 Oct 2017, 01:05
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Question Stats:
71% (00:56) correct
28% (00:54) wrong based on 124 sessions
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Event X and event Y are independent. The probability of event X is 40%. The probability of events X and Y both occurring is 16%.
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Kudos for correct solution.
Quantity A |
Quantity B |
The probability of X occurring |
The probability of Y occurring |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Kudos for correct solution.
Re: Event X and event Y are independent. The probability of even
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25 Oct 2017, 07:50
25 Oct 2017, 07:50
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Since the two events are independent, the probability of the intersection (both events happening) is equal to the product of the individual probabilities, i.e. \(P(X&Y) = P(X)P(Y)\). Substituting we get \(0.16 = 0.4*P(Y)\), from which we get P(Y) = 0.4. Then P(X) = P(Y).
Answer C
Answer C
Re: Event X and event Y are independent. The probability of even
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10 Oct 2018, 22:01
10 Oct 2018, 22:01
Answer C
