Consider the following probability distribution table: X     P(X) 1     0.3 4     0.3 5     0.4   Assume that a sample of n=2 measurements is selected from the population. List all the different values that the sample median (m) may assume and find the probability

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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  • Consider the following probability distribution table:

X     P(X)

1     0.3

4     0.3

5     0.4

 

Assume that a sample of n=2 measurements is selected from the population.

  1. List all the different values that the sample median (m) may assume and find the probability for each of them.
  2. Find the sampling distribution (probability distribution table) of the sample median.
  3. Find the mean of the sampling distribution of the median. Is it an unbiased estimator of the population mean (mean of X)?
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