# In a learning model, two responses (A and B) are possible for each of the series of

## Question:

In a learning model, two responses (A and B) are possible for each of the series of observations. If there is a probability p of getting response A in any individual observation, the probability of getting response A exactly n times in a series of m observations is F(p) = p^{n}(1 − p)^{m − n}. The maximum likelihood estimate is the value of p that maximizes F( p) for 0 ≤ p ≤ 1. For what value of p does this occur?

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**Related Book For**

## Calculus For Business, Economics And The Social And Life Sciences

**ISBN:** 9780073532387

11th Brief Edition

**Authors:** Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price