At a large Midwestern college, 4% of the students are Hispanic. A random sample of 20 students from the college is selected. Let X denote the number of Hispanics among them. The probability that X is at least 1 is:
A)0.22.
B)0.44.
C)0.56.
D)0.77.

Question

Quizplus · Accepted Answer

The probability of getting at least one Hispanic student in a random sample of 20 students from a college where 4% of the students are Hispanic is 0.56. This is because the probability of not getting any Hispanic students in the sample is (0.96)^20 = 0.44, and the probability of getting at least one Hispanic student is 1 - 0.44 = 0.56.

At a Large Midwestern College, 4% of the Students Are