Two students, X and Y, forgot to sign their exam papers. Professor knows that they can write a good exam with probabilities 0.8 and 0.4, respectively. After grading, he notices that one unsigned exam...

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Two students, X and Y, forgot to sign their exam papers. Professor knows that they can write a good exam with probabilities 0.8 and 0.4, respectively. After grading, he notices that one unsigned exam is good and the other is bad. Given this information, and assuming that students worked independently of each other, what is the probability that the good exam belongs to student X?

Answered Same DayDec 20, 2021

Answer To: Two students, X and Y, forgot to sign their exam papers. Professor knows that they can write a good...

Robert answered on Dec 20 2021

124 Votes

Conditional Probability:
The conditional probability of an even B is the probability that the event will occur given that an
event A has already occurred.
,
Solution:
Note: A={ one unsigned exam is good and the other is bad}.
Event A consists of two outcomes...

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Two students, X and Y, forgot to sign their exam papers. Professor knows that they can write a good exam with probabilities 0.8 and 0.4, respectively. After grading, he notices that one unsigned exam...

Answer To: Two students, X and Y, forgot to sign their exam papers. Professor knows that they can write a good...

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