Final answer:
The probability that a randomly chosen student at Maya's school is in the band is 9%, which is calculated by dividing the number of students in the band (36) by the total number of students (400) and then multiplying by 100 to get a percentage.
Step-by-step explanation:
To calculate the probability that a randomly chosen student at Maya's school is in the band, we use the provided information regarding the number of students in the band and the total number of students at the school. The formula for probability can be expressed as the number of favorable outcomes divided by the total number of possible outcomes.
In this case, the number of students in the band is 36 and the total number of students is 400. Therefore, the probability (P) that a randomly chosen student is in the band is given by:
\[ P(\text{Band}) = \frac{\text{Number of students in the band}}{\text{Total number of students}} \]
\[ P(\text{Band}) = \frac{36}{400} \]
Now, convert this fraction to a percentage by multiplying by 100:
\[ P(\text{Band}) \times 100 = \frac{36}{400} \times 100 \]
\[ P(\text{Band}) \times 100 = 9\% \]
The probability that a randomly chosen student at Maya's school is in the band is 9%.