The following is the distribution for the random variable X
X1356P(X=x)0.20.30.40.1
It can be confirmed that: μX=3.7 and σX2=2.81.
A reasonable estimator for the population mean is the sample mean X¯.
Considering taking samples of 3 iid draws from X: X1,X2,X3.
What is the standard error for the distribution of X¯, σX¯, when n=3, ?
Keep all intermediate calculations exact and round final answer to 3 decimal places.