(Solved): Suppose that X has a discrete uniform distribution f(x)={1/3,0,x=1,2,3otherwise A random ...

Suppose that $\mathbf{X}$ has a discrete uniform distribution $f(x)=\{\begin{array}{cc}1/3,& x=1,2,3\\ 0,& \text{ otherwise }\end{array}$ A random sample of $n=32$ is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.6. Express the final answer to four decimal places (e.g. 0.9876). The probability is