A quality-control manager found that 30% of work-related problems occurred on Mondays and that 20% occurred in the last hour of a day's shift. It was also found that 4% of worker-related problems occurred in the last hour of Monday's shift.
a. What is the probability that a worker-related problem that occurs on a Monday does not occur in the last hour of the day's shift?
b. Are the events "problem occurs on Monday" and "problem occurs in the last hour of the day's shift" statistically independent?