2. [16pts] Use the table to answer the following questions Passed Failed Total F
ID: 3370951 • Letter: 2
Question
2. [16pts] Use the table to answer the following questions Passed Failed Total First time 4427 2058 6485 1845 2252 4834 3903 8737 Repeat 407 Total a. Find the probability that a student passed the exam (2pts) b. Find the probability that a student repeated the exam (2pts) Find the probability that a student failed, given that the student took the exam for the first time (4pts) c. Find the probability that the student passed given that it was the first time taking the exam. (4pts) d. e. Find the probability that a student passed or repeated the exam. (4pts)Explanation / Answer
a) P(Passes) = 4834/8737 = 0.5533
b) P(Repeats) = 2252/8737 = 0.2578
c) P(Failed | First time) = 2058/6485 = 0.3173
d) P(Passed | first time) = 4427/6485 = 0.6827
e) P(Passed or repeated) = (4834 + 2252 - 407)/8737 = 0.7645
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