Based on the probabilities shown in the contingency table, are events Q and D Independent? D DC total 15 4 .55 QC .2 .25 .45 total .35 .65 O Yes, because if D occurs, Q's probability doesn't change No, because if D occurs, Q's probability increases Yes, because D and Q can occur together OO No, because if D occurs, Q's probability decreases 2 1.5 points If events A and B are mutually exclusive and P(A) = .6 and P(B) = .3, find P(B|A). O w O .6 O ,18 O in 3 1.5 points The ages of the runners in a 10K race normally distributed with a mean of 32 and a standard deviation of 9. What is the probability that a randomly chosen runner is older than 45? O .9177 O .0668 O .0823 O .9332 O .0749 .9251 4 1.5 points In essence, a trial-by-jury is an hypothesis test, where Ho: a person is innocent Ha: a person is guilty Strong enough evidence has to be presented by the prosecution to prove to the jury that the accused person did indeed commit the crime. Suppose the jury is not convinced by the prosecution's evidence and delivers a not guilty verdict, but five years later It Is determined that the person actually did commit the crime. Which of the following is the case? The jury did not reject Ho; five years later it is shown that a Type I error was committed O The jury did not reject Ho: five years later it is shown that no error was committed O The jury rejected Ho: five years later it is shown that a Type II error was committed O The jury rejected Ho; five years later it is shown that a Type I error was committed O The jury did not reject Ho: five years later it is shown that a Type II error was committed