In a large metropolitan area,past records revealed that 30% of all the high school graduates go to college. From 20 graduates selected at random,what is the probability that exactly 8 will go to college?
A)0.114
B)0.887
C)0.400
D)0.231

Question

Quizplus · Accepted Answer

This is a binomial probability problem where n = 20 (number of trials), k = 8 (number of successes), and p = 0.30 (probability of success on a single trial). The probability is calculated using the binomial probability formula: P(X = k) = (nCk) * p^k * (1-p)^(n-k). Plugging in the values gives P(X = 8) ≈ 0.114.

In a Large Metropolitan Area,past Records Revealed That 30% of All