To solve this problem, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring. In this case, we want to find the probability that at least one student is a transfer student, so we can find the probability that no students are transfer students and subtract that from 1.
The probability that a randomly chosen student is not a transfer student is 12/22, since there are 12 students who are not transfer students out of a total of 22 students. Therefore, the probability that none of the 5 students chosen are transfer students is:
(12/22)^5 = 0.068
To find the probability that at least one student is a transfer student, we can subtract this from 1:
1 - 0.068 = 0.932
Therefore, the probability that at least one student is a transfer student is 0.932.