2.6* Copy Fraud. Students A and B may make an identical and uncommon mistake in solving an exam problem. If the students should work independently, A and B would have 0.02 and 0.05 probabilities of making this mistake. Assume that the probability that A and B make the same mistake (independently or dependently) is 0.008. A copy fraud is one copying the other. Find (a) the prior probability that they make the mistake independently (b) the posterior probability that they make the mistake independently given that A and B have made the mistake (c) the prior probability of having a copy fraud (d) the posterior probability of having a copy fraud given that A and B have made the mistake