Solution Found!
Consider an extension of the situation discussed in
Chapter 3, Problem 64E(choose chapter or problem)
Consider an extension of the situation discussed in Example If there are
trials in a binomial experiment and we observe \(y_{0}\) "successes," show that \(P\left(Y=y_{0}\right)\) is maximized when \(p=y_{0} / n\). Again, we are determining (in general this time) the value of
that maximizes the probability of the value of
that we actually observed.
Equation Transcription:
Text Transcription:
y_0
P(Y=y_0)
p=y_0/n
Questions & Answers
QUESTION:
Consider an extension of the situation discussed in Example If there are
trials in a binomial experiment and we observe \(y_{0}\) "successes," show that \(P\left(Y=y_{0}\right)\) is maximized when \(p=y_{0} / n\). Again, we are determining (in general this time) the value of
that maximizes the probability of the value of
that we actually observed.
Equation Transcription:
Text Transcription:
y_0
P(Y=y_0)
p=y_0/n
ANSWER:
Solution :
Step 1 of 1:
Given there are n trials in a binomial experiment.
Then we observe successes.
We have to show that P(Y=) is maximized when p=
.
Our goal is:
We need to show that P(Y=) is maximized when p=
.