The produce manager at a farmerʹs market was interested in determining how many oranges a person buyswhen they buy oranges. He asked the cashiers over a weekend to count how many oranges a person boughtwhen they bought oranges and record this number for analysis at a later time. The data is given below in thetable. The random variable x represents the number of oranges purchased and P(x) represents the probabilitythat a customer will buy x apples. Determine the mean 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) 3.97
B) 5.50
C) 3
D) 4

Question

The produce manager at a farmerʹs market was interested in determining how many oranges a person buyswhen they buy oranges. He asked the cashiers over a weekend to count how many oranges a person boughtwhen they bought oranges and record this number for analysis at a later time. The data is given below in thetable. The random variable x represents the number of oranges purchased and P(x) represents the probabilitythat a customer will buy x apples. Determine the mean 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) 3.97
B) 5.50
C) 3
D) 4

Quizplus · Accepted Answer

The mean number of oranges purchased by a customer is calculated by multiplying each value of x by its corresponding probability P(x) and then summing these products. The calculation is as follows: $$ \text{Mean} = (1 \times 0.05) + (2 \times 0.19) + (3 \times 0.20) + (4 \times 0.25) + (5 \times 0.12) + (6 \times 0.10) + (7 \times 0) + (8 \times 0.08) + (9 \times 0) + (10 \times 0.01) = 3.97. $$

The Produce Manager at a Farmerʹs Market Was Interested in Determining