Question

Psychologist is measuring learning in mice. He assumes that a mouse learns to recognize a specific object after a random number of exposures, and the number is geometrically distributed with parameter p. He exposes one of his subject mice to 3 different objects on 3 different days and records the (independent) numbers of exposures: 4, 3, and 7.

A) Based on this data, what is the maximum likelihood estimate of p?
O 0.7857
O 0.2143
O 0.2727
O 0.1765

Answer 1

Option B) 0.2143

Explanation:

We are given the following in the question:

Numbers of exposures(x): 4,3,7

We have to find the maximum likelihood estimate of p.

Formula:

`\hat{p} = (n)/(\sum x_i)`

Putting the values, we get,

`\hat{p} = (3)/(3+4+7) = (3)/(14) = 0.2143`

Thus, the correct answer is

Option B) 0.2143