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or CharlesX Mail- Trevor Perry-Out P Do Homework - Trevor Perry - Google Chrome op Secure ! https://wwww.mat aspx rkld-459044861 &question;!dz 3&flushed; = true&cld; = 47247 -yes III Apps Bookmarks atlab | Pearson TUESDAY I THURSDAY STT 315 Trevor Perry 10/31/17 10:54 PM Trevor Homework: Home work 8 - Chapter 5.1 - 5.2 Score: 1.33 of 4 pts Save MyStatLab 4 of 9 (9 complete) HW Score: 52.05%, 11.97 of 23 pts 5.2.9 E Question Help Consider the following probability distribution. Complete parts a through d O My Courses 10 Course Home p(x) x is an unbiased estimator of is a biased estimator of Study Pla c. Find the sampling distribution of the sample median m for a random sample of n 3 measurements from this distribution. Put the answers in ascending order for StatCrunch e Text Chapter Contents Tools for Success Multimedia Library Purchase Options p(M) (Type an integer or a simplified fraction.) !!. | 1.1 Vi :/i ·. (u) More Course Tools Enter your answer in the edit fields and then click Check Answer parts remaining Clear Al Check Answer ·Ha] . 10:54 PM 10/31/2017

Explanation / Answer

Since sampling is done with replacement so possible number of samples is 3*3*3 = 27

Since each sample is equally likley so probability of each sample is 1/27.

Following table shows all possible samples and corresponding probabilities:

Following is the pmf of M:

Samples Median P(M=m) 2 2 2 2 1/27 2 2 4 2 1/27 2 2 10 2 1/27 2 4 2 2 1/27 2 4 4 4 1/27 2 4 10 4 1/27 2 10 2 2 1/27 2 10 4 4 1/27 2 10 10 10 1/27 4 2 2 2 1/27 4 2 4 4 1/27 4 2 10 4 1/27 4 4 2 4 1/27 4 4 4 4 1/27 4 4 10 4 1/27 4 10 2 4 1/27 4 10 4 4 1/27 4 10 10 10 1/27 10 2 2 2 1/27 10 2 4 4 1/27 10 2 10 10 1/27 10 4 2 4 1/27 10 4 4 4 1/27 10 4 10 10 1/27 10 10 2 10 1/27 10 10 4 10 1/27 10 10 10 10 1/27

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