Part 1 of 4 HW Score: 31.25%, 3.75 of 12 points O Points: 0 of 1 A survey of 400 employed adults asked if they felt tense or stressed out at work with the accompanying results. Complete parts (a) through (d) below. Click the icon to view the study results. a. Given that the employed adult felt tense or stressed out at work. what is the probability that the employed adult was female? (Round to four decimal places as Study Results Wancel Felt Tense or Stressed Out at Work Gender Yes No Male 85 115 Female 100 100 Print Done Clear all ample Get more help - O cricut cricut OCT aitv 17l l A survey at 328 marketers (marketers that focus primarily on attracting businesses) and B20 marketers (marketers that primarily target consumers) was based on 1000 32B marketers and 1000 32c marketers. The table to the right summarizes the results. Complete parts (a) through (c) Increase use Of $00M media below. yes ' N O 499 Total 1000 , , , , W { A a. Suppose you know that the marketer is a 828 marketer. What is the probability that he or she plans to increase use of social media? The probability that he or she plans to increase use of social media is C. (Simplify your answer. Round to three decimal places as needed.) b. Given that the employed adult is female, what is the probability that she felt tense or stressed out at work? Use the formula for conditional probability shown below. The probability of A given B is equal to the probability of A and B divided by the probability of B. Let event A be that the respondent felt tense or stressed out at work (A = stressed) and let event B be that the respondent is female (B = female). P(A and B) P(stressed|female) = P(A|B) = P(B) c. Explain the difference in the results in (a) and (b). Carefully review the formulas for the probabilities calculated in (a) and (b). Use this information to explain the difference in results. d. Is feeling tense or stressed out at work and gender independent?a. Suppose you know that the marketer is a [323 marketer. What is the probability that he or she plans to increase use of social media? b. Suppose you know that the marketer is a 82C marketer. What is the probability that he or she plans to increase use of social media? c. Are the two events, increase use of social media and business focus, independent? Explain