The success or failure of a new medical treatment is modeled as a Bernoulli trial with unknown probability of success, p. A doctor treats one patient at a time, and will only treat the next patient if the previous patient responds successfully. Suppose a doctor treats a total of n patients in this manner-stopping after the first failure occurs when treating the nth patient. Hint: This is your data. What is the most likely value of p? In other words, find the maximum likelihood estimate p (in terms of n).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The success or failure of a new medical treatment is modeled as a Bernoulli trial with unknown
probability of success, p.
A doctor treats one patient at a time, and will only treat the next patient if the previous patient
responds successfully.
Suppose a doctor treats a total of n patients in this manner-stopping after the first failure occurs
when treating the nth patient. Hint: This is your data.
What is the most likely value of p?
In other words, find the maximum likelihood estimate p (in terms of n).
Transcribed Image Text:The success or failure of a new medical treatment is modeled as a Bernoulli trial with unknown probability of success, p. A doctor treats one patient at a time, and will only treat the next patient if the previous patient responds successfully. Suppose a doctor treats a total of n patients in this manner-stopping after the first failure occurs when treating the nth patient. Hint: This is your data. What is the most likely value of p? In other words, find the maximum likelihood estimate p (in terms of n).
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