What value of the threshold (alpha) should be used so that the number of clicks are maximized, but a click-through-rate of 0.45 or greater is achieved.

A First Course in Probability (10th Edition)
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What value of the threshold (alpha) should be used so that the number of clicks are maximized, but a click-through-rate of 0.45 or greater is achieved. 

Consider the following 10 probability values (probability of a click for an arriving visitor) for a
certain publisher. There are 10 classes of visitors, and each class is equally likely.
Freq of this class
of visitor
Click-Prob-value
(p)
0.05
0.1
0.20
0.1
0.2
0.1
0.25
0.1
0.1
0.1
0.30
0.35
0.4
0.1
0.45
0.1
0.5
0.1
0.55
0.1
Transcribed Image Text:Consider the following 10 probability values (probability of a click for an arriving visitor) for a certain publisher. There are 10 classes of visitors, and each class is equally likely. Freq of this class of visitor Click-Prob-value (p) 0.05 0.1 0.20 0.1 0.2 0.1 0.25 0.1 0.1 0.1 0.30 0.35 0.4 0.1 0.45 0.1 0.5 0.1 0.55 0.1
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