xpThe data is given as
X: 0 1 2 3
P(x): 0.085 0.336 0.421 0.158
To find the standard deviation , first find the mean of the variable.
The mean is calculated as
[tex]\mu=\Sigma xP(x)=0+0.336+0.842+0.474=1.652[/tex]
Now another table,
Now the formula for standard deviation is determined as
[tex]\sigma=\sqrt[]{\Sigma(x^2P(x))-\mu^2}[/tex][tex]\sigma=\sqrt[]{3.442-1.652^2}=\sqrt[]{3.442-2.729104}=\sqrt[]{0.712896}[/tex][tex]\sigma=0.8443[/tex]
Thus the standard deviation is 0.8443.
