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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.
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.
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