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Consider the Population Described by the Probability Distribution Below x357p(x).1.7.2\begin{array}{c|c|c|c}x & 3 & 5 & 7 \\\hline p(x) & .1 & .7 & .2\end{array}

question 28

Essay

Consider the population described by the probability distribution below.
x357p(x).1.7.2\begin{array}{c|c|c|c}x & 3 & 5 & 7 \\\hline p(x) & .1 & .7 & .2\end{array}

a. Find μ\mu .
b. Find the sampling distribution of the sample median for a random sample of n=2n = 2 observations from
this population.
c. Show that the median is an unbiased estimator of μ\mu .

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The skill of logically breaking down ideas, identifying fallacies, and understanding arguments.

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