Answer :
To find the probability that a randomly selected person consumes between 1,500 and 2,000 calories per day, we follow these steps:
1. Identify the number of people consuming 1,500 to 2,000 calories. From the table, the total for this range is
[tex]$$250.$$[/tex]
2. Identify the total number of people in the survey. The overall total given in the table is
[tex]$$500.$$[/tex]
3. Use the probability formula:
[tex]$$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}.$$[/tex]
4. Substitute the values into the formula:
[tex]$$\text{Probability} = \frac{250}{500} = 0.5.$$[/tex]
Thus, the probability that a person consumes between 1,500 and 2,000 calories in a day is [tex]$0.50$[/tex], which corresponds to answer choice D.
1. Identify the number of people consuming 1,500 to 2,000 calories. From the table, the total for this range is
[tex]$$250.$$[/tex]
2. Identify the total number of people in the survey. The overall total given in the table is
[tex]$$500.$$[/tex]
3. Use the probability formula:
[tex]$$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}.$$[/tex]
4. Substitute the values into the formula:
[tex]$$\text{Probability} = \frac{250}{500} = 0.5.$$[/tex]
Thus, the probability that a person consumes between 1,500 and 2,000 calories in a day is [tex]$0.50$[/tex], which corresponds to answer choice D.
