A student is taking the online homework which allows at most 10 attempts and keeps attempting until passing the homework. Suppose each time the probability to pass is 0. 5, independent of the previous attempts. The student stops attempting the test once passing. Let X be the number of attempts to pass, and let A = {w | X(w) ≤ 10}. Provided that the student passed the homework, find the conditional PMF PXIA () of X and find (PX|A(3), PX|A (5)). = 0.1251,0.0313

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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How were the correct answers of 0.1251 and 0.0313 attained?
A student is taking the online homework which allows at most 10 attempts and keeps attempting until passing the homework. Suppose
each time the probability to pass is 0.5, independent of the previous attempts. The student stops attempting the test once passing. Let X
be the number of attempts to pass, and let A = {w | X(w) ≤ 10}. Provided that the student passed the homework, find the conditional
PMF PX|A () of X and find
(PX|A(3), PX|A(5)).
= 0.1251,0.0313
Transcribed Image Text:A student is taking the online homework which allows at most 10 attempts and keeps attempting until passing the homework. Suppose each time the probability to pass is 0.5, independent of the previous attempts. The student stops attempting the test once passing. Let X be the number of attempts to pass, and let A = {w | X(w) ≤ 10}. Provided that the student passed the homework, find the conditional PMF PX|A () of X and find (PX|A(3), PX|A(5)). = 0.1251,0.0313
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