Problem 7 (11 marks). Suppose a supermarket is conducting a survey to find out the busiest time and day for shoppers. Survey respondents are asked (1) whether they shopped at the store on a weekday or on the weekend and (2) whether they shopped at the store before or after 5 P.M. the survey revealed that 48% of shoppers visited the store before 5 P.M. 27% of shoppers visited the store on a weekday (Monday to Friday). 7% of shoppers visited the store before 5 P.M. on a weekday. (a) (6 marks) Summarize the survey findings with a cross-table for the two variables Time of Day (row) and Day of Week (column). (b) (3 marks) What is the probability that a randomly selected shopper who shops before 5 P.M. also shops on a weekday? (c) (1 mark) Are "before 5 P.M." and "weekday" disjoint events? Justify your answer. (d) (1 mark) Are before 5 P.M. and weekday independent events? Justify your answer.