Construct Probability Histograms
-The Produce Manager at a Farmer's Market $x$

question 149

Multiple Choice

Construct Probability Histograms
-The produce manager at a farmer's market was interested in determining how many oranges a person buys when they buy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when they bought oranges and record this number for analysis at a later time. The data is given below in the table. The random variable $x$ represents the number of oranges purchased and $P ( x )$ represents the probability that 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