Question
Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers. Find E(X).

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From the data of 20 pairs of observation on X and Y, following result are obtained $\bar{x}=199$,
$
\begin{aligned}
& \bar{y}=94, \sum\left(x_i-\bar{x}\right)^2=1200, \sum\left(y_i-\bar{y}\right)^2=300 \\
& \sum\left(x_i-\bar{x}\right)\left(y_i-\bar{y}\right)=-250 \\
& \text { Find }
\end{aligned}
$
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