According to national data, about 11% of American college students earn a graduate degree. Using this estimate, what is the probability that exactly 26 undergraduates in a random sample of 200 students will earn a college degree?

Probability is the chances of an event occurring or not occurring in an experiment.

Formula for the probability of A and B (independent events) : p (A and B) = p (A) * p (B). If the probability of one event doesn't affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.

Step-by-step explanation:

P (Exactly 26 undergraduates will earn a degree) = P (26);

P (Sample of Students) = P (200);

P (11% of American students earn a degree) = P (11% or 0.11)

∴ The probability that exactly 26 undergraduate earning a degree = P (200) / P (26) = 7.69

∴ To find the 11% of the American College students that earn a degree =

7.969 x 0.11 = 0.8459≅ 0.9