In 46 of the 70 years from 1938 through 2007 a certain stock market finished higher after the first week of trading In 37 of those 40 years, this market finished higher for the year. The following table gives the first week and annual performance of the market over this 70-year period. Use the table to answer (a) through (e) below. ANNUAL PERFORMANCE FIRST WEEK Higher Lower Higher 37 9 Lower 12 12 a. If a year is selected at random, what is the probability that the market finished higher for the year? (Round to four decimal places as nooded) b. Given that the market finished 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.) c. Are the two events "first-wook performance" and "annual performance" independent? Explain. Time Remaining: 01:50 23 Ne In 46 of the 70 years from 1938 though 2007 a certain stock market finished higher after the first week of trading In 37 of those 46 years, this market finished higher for the year. The following table gives the first week and annual performance of the market over this 70-year period. Use the table to wor(a) through to bolow ANNUAL PERFORMANCE FIRST WEEK Higher Lower Higher 37 9 Lower 12 12 (Round to four decimal places as needed.) c. Are the two events first-week performance and annual performance independent? Explain O A. No, the probabilities in (a) and (b) are not equal, which means that one event affects the probability of occurence of the other event. OB. No, the probabilities in (a) and (b) are equal, which means that one event affects the probability of occurence of the other event OC. Yes, the probabilities in (a) and (b) are not equal, which means that neither event affects the probability of occurence of the other event, OD. Yes, the probabilities in (a) and (b) are equal, which means that neither event affects the probability of occurence of the other event, Time Remaining: 0130 Unmute Stop Video Participants 5C Cloudy