In: Statistics and Probability
a professor has learned that six students in her class of 19 will cheat on the exam. She decides to focus her attention on eight randomly chosen students during the exam. A. what is the probability that she finds at least one the students cheating? B. what is the probability that she finds at least one of the students cheating if she focuses on nine randomly chosen students?
A) P(at least one of the students cheating) = 1 - P(no one cheating)
= 1 - 13C8/19C8
= 1 - 0.0170 = 0.9830
b) P(at least one of the students cheating) = 1 - P(no one cheating)
= 1 - 13C9/19C9
= 1 - 0.0077 = 0.9923