Question
Albert has saved his homework in a flash drive and put the drive in a drawer, without realizing that there are already 9 drives in
Albert has saved his homework in a flash drive and put the drive in a drawer, without realizing that there are already 9 drives in that drawer. Now, there are 10 drives, and they all look identical.
(a) If he now picks up the drives randomly one by one and checks whether it contains his homework, what is the probability that the kth drive that he picks up contains his homework, for k = 1, 2, 3, . . . , 10? Summarize your result in a table to show the probability distribution. (b) Let X be the number of drives that he picks up until he finds his homework. Find the expected value E(X).
(c) Find the variance V (X).
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