Let X1, X2, ... ,X9 be nine independent and identically distributed random variables from a binomial distribution with five trials and unknown probability of success. Which of the following is an unbiased estimator of p. Note that due to lack of subscripts in the answers X1 denotes X1. O (X1 + X2 +.. + X9)/45 O (X1 + X2 + ... + X9)/5 (X1 + X2 + ... + X9)/9 O X1 + X2 + ... + X9

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Question 8
Let X1, X2,
„X9 be nine independent and identically distributed random variables from a binomial
distribution with five trials and unknown probability of success. Which of the following is an
unbiased estimator of p.
Note that due to lack of subscripts in the answers X1 denotes X1.
O (X1 + X2 +
+ X9)/45
O (X1 + X2 +.. + X9)/5
(X1 + X2 +
+ X9)/9
...
X1 + X2 + ... + X9
Transcribed Image Text:Question 8 Let X1, X2, „X9 be nine independent and identically distributed random variables from a binomial distribution with five trials and unknown probability of success. Which of the following is an unbiased estimator of p. Note that due to lack of subscripts in the answers X1 denotes X1. O (X1 + X2 + + X9)/45 O (X1 + X2 +.. + X9)/5 (X1 + X2 + + X9)/9 ... X1 + X2 + ... + X9
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