Question #67bb2

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Answer 1 · 2015-09-08T04:23:56

$c = 10/3$

$E(x) = sum x* P(x)$

Properties of p.d.f. include $sump(x) = 1$

$sum P(x) = 1$

=> $c[1 +4 + 9 + 16 ] = 1$

=> $30c = 1$

=> $c = 1/30.E(x)$

$= (1/30) [1 . 1^2 + 2. 2^2 + 3. 3^2 + 4. 4^2 ]$

$= (1/30)[ 1 + 8 + 27 + 64]$

$= 100/30$

$= 10/3$

$E(x) = sum x* P(x)$