Question

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?

Answer 1

Answer:

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