High School

Select the correct answer.

[tex]
\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{Weight/Calories per Day} & \text{1000 to 1500 cal.} & \text{1500 to 2000 cal.} & \text{2000 to 2500 cal.} & \text{Total} \\
\hline
\text{120 lb.} & 90 & 80 & 10 & 180 \\
\hline
\text{145 lb.} & 35 & 143 & 25 & 203 \\
\hline
\text{165 lb.} & 15 & 27 & 75 & 117 \\
\hline
\text{Total} & 140 & 250 & 110 & 500 \\
\hline
\end{array}
\]
[/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 and 2,000 calories in a day, follow these steps:

1. Identify the Total Number of People in the Survey:
- According to the table, the total number of people surveyed is 500.

2. Identify the Number of People Consuming 1,500 to 2,000 Calories:
- Look at the column labeled "1500 to 2000 cal.". The total number of people who consume calories in this range is 250.

3. Calculate the Probability:
- The probability is the number of people consuming calories in the desired range divided by the total number of people surveyed.
- So, the probability is calculated as:
[tex]\[
\text{Probability} = \frac{\text{Number of people consuming 1,500 to 2,000 calories}}{\text{Total number of people}}
\][/tex]
- Substituting the numbers, we get:
[tex]\[
\text{Probability} = \frac{250}{500} = 0.50
\][/tex]

The probability that a person consumes 1,500 to 2,000 calories in a day is 0.50.

Therefore, the correct answer is D. 0.50.