Here is Bayes' Rule: P(Q )= [P(Q) x P(GIO)] / ([P(Q) x P(GIO)] + [P(not Q) x P(Glnet O)]) Use Bayes' Rule, which means you need to show your work, in order to solve the following problem: Consider the following case involving a defendant on trial for killing his employer with a ball point pen. It was shown at trial, among other things, that the defendant had fought with his boss over a highly sensitive issue and had stormed out of the office early on the day that his boss was killed. The body was found by the cleaning crew at 7:00 pm that night. The defendant claimed that he had gone home and stayed there but no one could support this contention An expert testified that the victim had been stabbed repeatedly with a ball point pen that contained a highly unusual kind of ink. The expert further testified that (1) the defendant's pen contained ink of that same type and (2) based on highly reliable data, one would expect only 5 percent of all pens to contain that type of ink Prior to hearing the expert testify, one of the jurors believed that there was a 60 percent chance that the defendant had stabbed his employer with his pen [ie., P(H) = 0.60]. Therefore, it follows that, according to this juror, the probability that the defendant did not stab his employer, based on the prior evidence, is 40 percent [i.e., P(not H) = 0.40]. Further, as the expert testified, the chance of finding a pen with the type of ink that was in the murder weapon is only 5 percent. This is another way of saying that the probability of finding that particular type of ink in the defendant's pen if he did not stab his employer is 5 percent [ie., P(Elnot H) = 0.05]. Finally, the probability of finding that type of ink in the defendant's pen if he had indeed stabbed his employer can be assumed to be 100 percent-if the defendant did use his pen to kill his employer then it is certain that its ink type matches the ink type of the murder weapon [ie., P(EH) = 1.0]. (1) Using the probabilities established by the juror, what is the probability that the defendant stabbed his employer given that he had that type of ink in his pen