For which of the following values of P is the value of P(1 - P) maximized?
A)P = 0.99
B)P = 0.90
C)P = 0.01
D)P = 0.50

Question

Quizplus · Accepted Answer

To find the maximum value of P(1-P), we can take the derivative of the expression with respect to P and set it equal to 0.

d/dP [P(1-P)] = 1-2P

Setting this equal to 0, we get 1-2P = 0, or P = 0.5.

Therefore, the maximum is achieved at P = 0.5, which is option D.

For Which of the Following Values of P Is the Value