A study conducted at a certain college shows that 54% of the schoolʹs graduates move to a different state aftergraduating. Find the probability that among 7 randomly selected graduates, at least one moves to a differentstate after graduating.
A) 0.996
B) 0.987
C) 0.143
D) 0.540

Question

Quizplus · Accepted Answer

The probability that at least one graduate moves to a different state is 1 minus the probability that none of them move. The probability that a single graduate does not move is 1 - 0.54 = 0.46. For 7 graduates, the probability that none move is (0.46)^7. Therefore, the probability that at least one moves is 1 - (0.46)^7 = 0.996.

A Study Conducted at a Certain College Shows That 54