Find the varience of the following distribution.

Explanation

We have,

`therefore` Varience=`E(X^(2))-[E(X)^(2)-[E(X)]^(2)=sumX^(2)P(X)-[sumXP(X)]^(2)`
`=[0+5/18+8/9+3/2+16/9+25/18]-[0+5/18+4/9+1/2+4/9+5/18]^(2)`
`=[(5+16+27+32+25)/18]-[(5+8+9+8+5)/18]^(2)`
`=105/18-(35cdot35)/(18cdot18)=(18cdot105-35cdot35)/(18cdot18)`
`=(35)/(18cdot18)]54-35]=(19cdot35)/324=665/324`