High School

Select the correct answer:

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

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 :

To find the probability that a person consumes between 1,500 to 2,000 calories per day, we need to look at the information provided in the table and calculate the probability based on these numbers.

Here’s how you can do it step-by-step:

1. Identify the Total Number of People:
Look at the "Total" row and column in the table. The total number of people surveyed is 500.

2. Identify the Number of People in the Desired Group:
We need the number of people who consume between 1,500 to 2,000 calories. According to the table, there are 250 people in this group.

3. Calculate the Probability:
Probability is calculated by dividing the number of people in the desired group by the total number of people surveyed.

[tex]\[
\text{Probability} = \frac{\text{Number of people consuming 1,500 to 2,000 calories}}{\text{Total number of people}} = \frac{250}{500}
\][/tex]

4. Simplify the Fraction:

[tex]\[
\frac{250}{500} = 0.5
\][/tex]

Therefore, the probability that a person consumes between 1,500 to 2,000 calories in a day is 0.5.

So, the correct answer is D. 0.50.