A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the class. Assume that 16 students have registered for the course. What is the probability that exactly 2 will withdraw?

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^ (n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25) ² (0.75) ¹⁶⁻²

P = 120 (0.25) ² (0.75) ¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.