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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

Respuesta :

Answer:

Option B) 0.2143                                            

Step-by-step 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:

[tex]\hat{p} = \dfrac{n}{\sum x_i}[/tex]

Putting the values, we get,

[tex]\hat{p} = \dfrac{3}{3+4+7} = \dfrac{3}{14} = 0.2143[/tex]

Thus, the correct answer is

Option B) 0.2143

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