Answer to Question #317599 in Statistics and Probability for miekay

Question

if the population consists of number 1,2,3,4,5 and 6,find the mean of the samples of size 3.construct a sampling distribution

Answer 1

Mean of the samples

Sampling distribution

$P(X=2)=P(X=2.33)=P(X=5)=P(X=4.67)=\frac{1}{20}$

$P(X=2.67)=P(X=4.33)=\frac{2}{20}$

$P(X=3)=P(X=3.33)=P(X=3.67)=P(X=4)=\frac{3}{20}$