Consider the Population Described by the Probability Distribution Below$\begin{array}{c|c|c|c}
x & 3 & 5 & 7 \
\hline p(x) & .1 & .7 & .2
\end{array}$

Question

Examlex · Accepted Answer

The Answer is a.

\quad \mu = E ( x ) = .1 ( 3 ) + .7 ( 5 ) + .2 ( 7 ) = 5.2

b.

\begin{array}{c|c|c|c|c|c}M & 3 & 4 & 5 & 6 & 7 \\hline p(M) & .01 & .14 & .53 & .28 & .04\end{array}

c.

E ( M ) = .01 ( 3 ) + .14 ( 4 ) + .53 ( 5 ) + .28 ( 6 ) + .04 ( 7 ) = 5.2

; Since

E ( M ) = \mu

, the sample median is an unbiased estimator of

\mu

.

Consider the Population Described by the Probability Distribution Below $\begin{array}{c|c|c|c}x & 3 & 5 & 7 \\\hline p(x) & .1 & .7 & .2\end{array}$

Definitions:

Consider the Population Described by the Probability Distribution Below x357p(x).1.7.2\begin{array}{c|c|c|c}x & 3 & 5 & 7 \\\hline p(x) & .1 & .7 & .2\end{array}xp(x)​3.1​5.7​7.2​​

Definitions:

Consider the Population Described by the Probability Distribution Below $\begin{array}{c|c|c|c}x & 3 & 5 & 7 \\\hline p(x) & .1 & .7 & .2\end{array}$