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Winter_2020_Homework_6_solutions.pdf - Name: Section:...

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Name:Section:Homework 6 Winter 2020Student ID:Due March 4, 2020InstructionsPlease read the following instructions carefully:1. Please print out this document as if were a take home exam.2. This homework should be stapled and of final draft quality.3. Write all solutions in the space provided.4. Box your final answers5. This assignment is due in our classroom homework box located in Donald Bren Hall at 5:00pm on thedate posted.This homework should be stapled and of final draft quality.
Homework 61. SupposeX1, . . . , XMiidBinomial(n, p) is a set of M observations drawn independently from a Binomialdistribution.(a) Write out the likelihood function.
(b) Write out the log-likelihood function.
(c) Find the score function by taking the partial derivative of the log-likelihood function.
Page 2
Homework 6(d) Set the score function equal to zero and solve for the parameter p.
(e) Take the second partial derivative of the score function.
(f) Check to make sure this value is negative to ensure that the log-likelihood function is concave down.

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