It is known that a sample consisting of the values 2, 3, 4, 3, and 4 comes from a discrete random variable with the probability mass function Px(x) = p(1 - p)x-1 Find the maximum likelihood estimate (MLE) of p

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 14E
Question
It is known that a sample consisting of the values 2, 3, 4, 3, and 4 comes from a discrete random
variable with the probability mass function
Px(x) = p(1 - p)x-1
Find the maximum likelihood estimate (MLE) of p
Transcribed Image Text:It is known that a sample consisting of the values 2, 3, 4, 3, and 4 comes from a discrete random variable with the probability mass function Px(x) = p(1 - p)x-1 Find the maximum likelihood estimate (MLE) of p
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