You are allowed to take a certain test three times, and final score will be the maximum of the test your Scores. Your score in test k, where k = 1, 2, 3, takes one of the values from k to 10 with...


You are allowed to take a certain test three times, and<br>final score will be the maximum of the test<br>your<br>Scores. Your score in test k, where k = 1, 2, 3, takes<br>one of the values from k to 10 with equal probability<br>1/(11 – k), independently of the scores in other tests.<br>What is the PMF of the final score?<br>

Extracted text: You are allowed to take a certain test three times, and final score will be the maximum of the test your Scores. Your score in test k, where k = 1, 2, 3, takes one of the values from k to 10 with equal probability 1/(11 – k), independently of the scores in other tests. What is the PMF of the final score?

Jun 08, 2022
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