if X~Geom(p),what is the most probable value of X?i.

Chapter 4, Problem 7E

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QUESTION:

If \(X\) ∼ Geom(p), what is the most probable value of \(X\)?

i. 0

ii. 1/p

iii. p

iv. 1

v. \((1 − p)/p^{2}\)

Equation Transcription:

Text Transcription:

 

(1-p)/p^2

Questions & Answers

QUESTION:

If \(X\) ∼ Geom(p), what is the most probable value of \(X\)?

i. 0

ii. 1/p

iii. p

iv. 1

v. \((1 − p)/p^{2}\)

Equation Transcription:

Text Transcription:

 

(1-p)/p^2

ANSWER:

Answer:

Step 1 of 2:

Given, Let X follows Geometric distribution and probability mass function of the Geometric distribution is

 P(x)  =  p  (1 - p  , x = 1, 2, …..

The claim is to find the most probable value of X.

(i) 0

(ii) 1/p

(iii)  p

(iv) 1

(v)


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