The Owner of a Farmerʹs Market Was Interested in Determining

Multiple Choice

The owner of a farmerʹs market was interested in determining how many oranges a person buys when theybuy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when theybought oranges and record this number for analysis at a later time. The data is given below in the table. Therandom variable x represents the number of oranges purchased and P(x) represents the probability that acustomer will buy x oranges. Determine the variance of the number of oranges purchased by a customer. $$\begin{array} { | c | c | c | c | c | c | c | c | c | c | c | } \hline x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline P ( x ) & 0.05 & 0.19 & 0.20 & 0.25 & 0.12 & 0.10 & 0 & 0.08 & 0 & 0.01 \\\hline\end{array}$$

A) 3.57
B) 1.95
C) 3.97
D) 0.56