Probability of Students Preferring Online Classes

In a recent survey of students at a local high school, it was found that 60% of students prefer online classes over traditional classes. If a random sample of 15 students is selected, what is the probability that exactly 9 of them prefer online classes?

To solve this problem, you can use the binomial probability formula:

$$P(X = k) = {n race k} p^k (1-p)^{n-k}$$

where:

• $n$ = total number of trials (students selected)
• $k$ = number of successful trials (students that prefer online classes)
• $p$ = probability of success (proportion of students that prefer online classes)

Use this information to calculate the probability and give your answer as a decimal rounded to four decimal places.