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.
-Use the following random numbers to simulation crop yield for 10 years: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81. What is the estimated crop yield from the simulation?
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.
-Use the following random numbers to simulation crop yield for 10 years: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81. What is the estimated crop yield from the simulation?
A) 425
B) 442
C) 440
D) 475

Quizplus · Accepted Answer

The estimated crop yield from the simulation is calculated by mapping the given random numbers to the probabilities of the yields and then averaging them. The random numbers 01, 12 map to 350 bushels per acre due to their probability range (0-10 for 350 bushels). The numbers 23, 37, 46 map to 400 bushels (11-28). The numbers 50, 69, 72 map to 450 bushels (29-78), and the numbers 81, 92 map to 500 bushels (79-100). Averaging these yields: [(2*350) + (3*400) + (3*450) + (2*500)] / 10 = 440 bushels per acre.

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