Solution :
Mean =
=
X * P(X)
= 0 * 0.1+ 1 *0.1 + 2 *0.2 + 3 * 0.1 + 4 *0.3+5 *0.2
= ( 0+ 0.1+0.4 +0.3+1.2+1 )
= 3
Standard deviation =
=X
2 * P(X) -
2
= [
02 * 0.1+ 12 *0.1 + 22 *0.2 +
32 * 0.1 + 42 *0.3+52 *0.2 ]
-(3)2
=
[( 0+ 0.1 +0.8 +0.9+4.8+5 ) )] -9
= 11.6 -9
answer=2.6
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