The U.S. Department of Agriculture estimates that the yearly yield of limes per acre is distributed as follows:
$$\begin{array} { | c | c | }
\hline \begin{array} { c }
\text { Yield, bushels } \
\text { per acre }
\end{array} & \text { Probability } \
\hline 350 & .10 \
\hline 400 & .18 \
\hline 450 & .50 \
\hline 500 & .22 \
\hline
\end{array}$$ The estimated average price per bushel is $16.80.
-What is the expected yield of the crop?
A) 425
B) 442
C) 440
D) 475

Question

The U.S. Department of Agriculture estimates that the yearly yield of limes per acre is distributed as follows:
 $$\begin{array} { | c | c | } 
\hline \begin{array} { c } 
\text { Yield, bushels } \
\text { per acre }
\end{array} & \text { Probability } \
\hline 350 & .10 \
\hline 400 & .18 \
\hline 450 & .50 \
\hline 500 & .22 \
\hline
\end{array}$$ The estimated average price per bushel is $16.80.
-What is the expected yield of the crop?
A) 425
B) 442
C) 440
D) 475

Quizplus · Accepted Answer

The expected yield is the mean of the distribution, which is calculated as:E(X) = 350(0.10) + 400(0.18) + 450(0.50) + 500(0.22) = 442 bushels per acre.

The US Department of Agriculture Estimates That the Yearly Yield of of Limes