After reviewing past history, you have assembled the following table showing the frequency of certain levels of sales over the past 40 months. If the smallest random number used to represent sales of 100 units is 0, what will be the largest number used to represent sales of 100 units?
$$\begin{array} { | c | r | c | }
\hline \text { Sales (units) } & \text { Frequency } & \text { Carrespmeming Random Numbers } \
\hline 100 & 12 & 0 \leq x

Question

After reviewing past history, you have assembled the following table showing the frequency of certain levels of sales over the past 40 months. If the smallest random number used to represent sales of 100 units is 0, what will be the largest number used to represent sales of 100 units?
$$\begin{array} { | c | r | c | } 
\hline \text { Sales (units) } & \text { Frequency } & \text { Carrespmeming Random Numbers } \
\hline 100 & 12 & 0 \leq x < ? \text { ? } \
\hline 150 & 6 & \
\hline 200 & 8 & \
\hline 250 & 4 & \
\hline 300 & 10 & \
\hline
\end{array}$$
A) 0.1000
B) 0.3000
C) 0.5000
D) 0.7500
E) 0.9000

Quizplus · Accepted Answer

To find the largest number used to represent sales of 100 units, we need to calculate the probability of this event occurring based on the frequency data provided. The frequency for sales of 100 units is 12. The total frequency for all sales levels is $12 + 6 + 8 + 4 + 10 = 40$. The probability of sales being 100 units is therefore $\frac{12}{40} = 0.3$. Since the smallest random number for this category starts at 0, the largest number used to represent sales of 100 units, allowing for the next category to start immediately after, would be 0.2999... which rounds up to 0.3000 in the context of this question.

After Reviewing Past History, You Have Assembled the Following Table