The logistic distribution is associated with the cdf F(x)

Chapter 3, Problem 13E

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QUESTION:

Problem 13E

The logistic distribution is associated with the cdf F(x) = (1 + e −x ) −1, −∞ < x < ∞. Find the pdf of the logistic distribution and show that its graph is symmetric about x = 0.

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QUESTION:

Problem 13E

The logistic distribution is associated with the cdf F(x) = (1 + e −x ) −1, −∞ < x < ∞. Find the pdf of the logistic distribution and show that its graph is symmetric about x = 0.

ANSWER:

Answer:

Step 1 of 3:

           The CDF of a logistic distribution is

                 F(x) = ,

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