College

Select the correct answer.

[tex]\[

\begin{array}{|l|l|l|l|l|}

\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 determine the probability that a randomly selected person consumes between 1,500 to 2,000 calories per day, we use the formula for probability:

[tex]$$
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}.
$$[/tex]

Step 1: Identify the number of people in the 1,500 to 2,000 calories category. The table shows that there are 250 people in this category.

Step 2: Find the overall total number of people. According to the table, the total number is 500.

Step 3: Substitute the values into the probability formula:

[tex]$$
\text{Probability} = \frac{250}{500} = 0.5.
$$[/tex]

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

The correct answer is D. 0.50.