Q3 One computer exam center lost partial user profiles. There are three tests which miss the examinee's names. That is, they can not find who took the test. The exam center randomly distributes the three test scores to three users. Define random variable XX the number of user who receives the correct score. 1. Determine the pmf of XX. 2 Find the probability that at least two users receive the correct scores. 3 Calculate the expected value and variance of random variable XX.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Q3 One computer exam center lost partial user profiles. There are three tests which miss the examinee's names. That is, they can not find who took the test. The exam center randomly distributes the three test scores to three users. Define random variable XX the number of user who receives the correct score.

1. Determine the pmf of XX.

2 Find the probability that at least two users receive the correct scores.

3 Calculate the expected value and variance of random variable XX.

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