For which of the following values of p is the value of P(1 − p) maximized?
A) p = .99
B) p = .90
C) p = 1.0
D) p = .50

Name: For which of the following values of p is the value of P(1 − p) maximized? A) p = .99 B) p = .90 C) p = 1.0 D) p = .50
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Question

Quizplus · Accepted Answer

To maximize P(1-p), we can use the concept of completing the square. P(1-p) can be written as -(p-0.5)^2+0.25. This is a downward facing parabola and therefore reaches maximum value at p=0.5. Therefore, the best choice is D with a value of p=0.5.

For Which of the Following Values of P Is the Value