Answer :
To determine the probability that a randomly chosen person from this group is a sophomore who attended the jazz band concert, follow these steps:
1. Identify the total number of people in the group.
- According to the table, the total number of people is 137.
2. Identify the number of sophomores who attended the jazz band concert.
- According to the table, 35 sophomores attended the jazz band concert.
3. Calculate the probability by dividing the number of sophomores who attended the jazz band concert by the total number of people in the group.
[tex]\[ \text{Probability} = \frac{\text{Number of sophomores who attended the jazz band concert}}{\text{Total number of people}} = \frac{35}{137} \][/tex]
4. Perform the division to find the probability.
[tex]\[ \frac{35}{137} \approx 0.25547445255474455 \][/tex]
5. Round the result to two decimal places.
[tex]\[ 0.25547445255474455 \approx 0.26 \][/tex]
Therefore, the probability that a randomly chosen person from this group is a sophomore who attended the jazz band concert is [tex]\(0.26\)[/tex].
The correct answer is:
B. 0.26
1. Identify the total number of people in the group.
- According to the table, the total number of people is 137.
2. Identify the number of sophomores who attended the jazz band concert.
- According to the table, 35 sophomores attended the jazz band concert.
3. Calculate the probability by dividing the number of sophomores who attended the jazz band concert by the total number of people in the group.
[tex]\[ \text{Probability} = \frac{\text{Number of sophomores who attended the jazz band concert}}{\text{Total number of people}} = \frac{35}{137} \][/tex]
4. Perform the division to find the probability.
[tex]\[ \frac{35}{137} \approx 0.25547445255474455 \][/tex]
5. Round the result to two decimal places.
[tex]\[ 0.25547445255474455 \approx 0.26 \][/tex]
Therefore, the probability that a randomly chosen person from this group is a sophomore who attended the jazz band concert is [tex]\(0.26\)[/tex].
The correct answer is:
B. 0.26
