2. We are interested in analyzing data related to Black Friday shopping. Use B to denote someone who goes Black Friday shopping and use R to denote someone who works in retail. The probability that someone plans to Black Friday shop is 24%. The probability that someone works in retail is 7.4%. The probability that they plan to Black Friday shop and work in retail is 3.5%. a. What percentage of people plan to Black Friday shop OR work in retail? b. What percentage of people plan to Black Friday shop and do NOT work in retail? c. Given someone is planning to Black Friday shop, what is the probability that work in retail? d. What percentage of people are NOT planning to Black Friday shop? e. Are B and R mutually exclusive events? Why or why not? f. Are B and R independent events? Explain, using probabilities. g. If we know someone works in retail, what is the probability that they plan to Black Friday shop