The PMF of X is given by 80 100 120 p(x) .2 .3 .5 Let X1, X2 be a random sample from this distribution. Find the sampling distribution of X.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The PMF of \( X \) is given by

\[
\begin{array}{c|ccc}
x & 80 & 100 & 120 \\
\hline
p(x) & 0.2 & 0.3 & 0.5 \\
\end{array}
\]

Let \( X_1, X_2 \) be a random sample from this distribution. Find the sampling distribution of \( \bar{X} \).
Transcribed Image Text:The PMF of \( X \) is given by \[ \begin{array}{c|ccc} x & 80 & 100 & 120 \\ \hline p(x) & 0.2 & 0.3 & 0.5 \\ \end{array} \] Let \( X_1, X_2 \) be a random sample from this distribution. Find the sampling distribution of \( \bar{X} \).
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