Final answer:
To predict the number of times a girl will be asked to take attendance in Ms. Sander's class over 180 school days, we calculate the probability of choosing a girl and multiply it by the total number of days, resulting in an expectation of 108 days.
Step-by-step explanation:
The student's question involves making a prediction based on the proportion of girls and boys in class and the frequency with which they are chosen to take attendance. With 12 girls and 8 boys in Ms. Sander's class, we need to estimate how many times a girl will be chosen to take attendance over 180 school days.
First, we determine the probability of choosing a girl on any given day. This probability is the number of girls divided by the total number of students, which is:
Probability (choosing a girl) = Number of girls / Total number of students
Probability (choosing a girl) = 12 / (12 + 8) = 12 / 20 = 0.60
Next, we multiply this probability by the total number of days to get the expected number of days a girl is chosen:
Expected number of days a girl is chosen = Probability (choosing a girl) × Total number of days
Expected number of days a girl is chosen = 0.60 × 180 = 108
Therefore, the best prediction for the number of times a girl will be asked to take attendance is 108 times over 180 school days.