In 44 of the 70 years from 1937 through 2006 a certain stock market nished higher after the rst week of trading. In 40 of those 44 years, this market nished higher for the year. The following table gives the rst-week and annual performance of the market over this 70year period. Use the table to answer (a) through (0) below. ANNUAL PERFORMANCE a FIRST WEEK Higher Lower Higher 40 4 Lower 13 13 a. If a year is selected at random, what is the probability that the market nished higher for the year? (Round to four decimal places as needed.) b. Given that the marketnished higher after the first week of trading, what is the probability that it finished higher for the year? (Round to four decimal places as needed.) 0. Are the two events "rstweek performance" and "annual performance" independent? Explain. {:23 A. No, the probabilities in (a) and (b) are equal, which means that one event affects the probability of occurence of the other event. tr 8. Yes, the probabilities in (a) and (b) are not equal, which means that neither event affects the probability of occurence of the other event. {:3 C. Yes, the probabilities in (a) and (b) are equal, which means that neither event affects the probability of occurence of the other event. {:23 D. No, the probabilities in (a) and (b) are not equal, which means that one event affects the probability of occurence of the other event