College

Select the correct answer.

\[
\begin{array}{|l|l|l|l|l|}
\hline
\text{Weight/Calories per Day} & 1000 \text{ to } 1500 \text{ cal.} & 1500 \text{ to } 2000 \text{ cal.} & 2000 \text{ to } 2500 \text{ cal.} & \text{Total} \\
\hline
120 \text{ lb.} & 90 & 80 & 10 & 180 \\
\hline
145 \text{ lb.} & 35 & 143 & 25 & 203 \\
\hline
165 \text{ lb.} & 15 & 27 & 75 & 117 \\
\hline
\text{Total} & 140 & 250 & 110 & 500 \\
\hline
\end{array}
\]

Based on the data in the two-way table, what is the probability that a person consumes 1,500 to 2,000 calories in a day?

A. 0.22
B. 0.28
C. 0.35
D. 0.50

Answer :

We need to find the probability that a person consumes between 1,500 and 2,000 calories in a day. Follow these steps:

1. First, determine the total number of people. Adding all of the individuals from the table gives us a total of
[tex]$$
500 \text{ people}.
$$[/tex]

2. Next, calculate the number of people in the 1,500 to 2,000 calories category. This is the sum of the values in that column:
[tex]$$
80 \, (\text{from } 120 \text{ lb}) + 143 \, (\text{from } 145 \text{ lb}) + 27 \, (\text{from } 165 \text{ lb}) = 250 \text{ people}.
$$[/tex]

3. Finally, the probability is calculated by dividing the number of people in the desired category by the total number of people:
[tex]$$
\text{Probability} = \frac{250}{500} = 0.5.
$$[/tex]

Thus, the probability that a randomly selected person consumes between 1,500 and 2,000 calories in a day is [tex]$\boxed{0.5}$[/tex], which corresponds to option D.