Question

1. roughly 75% of students take the bus to school. if you were to ask 9 students in your class, what is the probability that at most 8 of them take the bus to school? 92.5% 90.4% 77.9% 22.5%

Explanation:

Step1: Use complement rule

The probability of at most 8 students taking the bus is equal to 1 minus the probability that all 9 students take the bus.

Step2: Calculate all 9 taking bus

The probability a single student takes the bus is $p=0.75$. For 9 students, this is $p^9$.
Expression: $0.75^9 \approx 0.07508$

Step3: Compute target probability

Subtract the above value from 1.
Expression: $1 - 0.07508 = 0.92492$
Convert to percentage: $0.92492 \times 100\% \approx 92.5\%$

Answer:

92.5%