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QUESTION 13 The following data describes the gender and marital status of 100 UNISA employees. Marital Status Gender Single Married Divorced Suppose that an employee is selected at random. (a) Construct the joint and marginal probability table. (6} (b) Find the probability that the employee selected is a married male. (2) (c) Find the probability that the employee selected is married or divorced. (4) (d) Find the probability that the employee selected is divorced given that he is male. (4) (e) Are gender or marital status independent in this data set? Justify your answer. (4) [20] 4 STA1 501:1]1 2I'OI2021 OUESTI ON 14 Students taking a module have a yearmark above 75 with probability 20%. a yearmark between 30 and 75 with probability 60%. and a yearmark below 30 with probability 20%. A student with a yearmark above 75 passes the exam with probability 70%. a student with a yearmark between 30 and 75 passes the exam with probability 65% and a student with a yearrnark below 30 passes the exam with probability 15%. (a) Construct a probability tree for the described scenario. (6} (b) What is the probability that a randomly chosen student passes the exam? (6) (c) It a student has a yearmark below 75. what is the probability that the student passes the exam? (4) [15]