In a group project in learning theory, a mathematical model for the proportion of

Chapter 5, Problem 108

(choose chapter or problem)

Learning Theory In a group project in learning theory, a mathematical model for the proportion P of correct responses after n trials was found to be

\(P=\frac{0.86}{1+e^{-0.25 n}}\).

(a) Find the limiting proportion of correct responses as n approaches infinity.

(b) Find the rates at which P is changing after n = 3 trials and n = 10 trials.

Text Transcription:

P = 0.86 / 1 + e^-0.25n

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