Question 2 A manufacturing company hired a consulting firm to identify quality control issues. The consulting firm found that 30% of work-related problems occurred on Tuesdays and that 20% occurred in the hour after a day's lunch. It was also found that 4% of worker-related problems occurred in the hour after Tuesday's lunch. a) Find the probability that a worker-related problem that occurs on Tuesday does not occur in the hour after the day's lunch. b) Given the events "problem occurs on Tuesday" and "problem occurs in the hour after the day's lunch", are they statistically independent? Justify your answer.

MATLAB: An Introduction with Applications
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Question 2
A manufacturing company hired a consulting firm to identify quality control issues. The consulting firm
found that 30% of work-related problems occurred on Tuesdays and that 20% occurred in the hour after
a day's lunch. It was also found that 4% of worker-related problems occurred in the hour after Tuesday's
lunch.
a) Find the probability that a worker-related problem that occurs on Tuesday does not occur in the
hour after the day's lunch.
b) Given the events "problem occurs on Tuesday" and "problem occurs in the hour after the day's
lunch", are they statistically independent? Justify your answer.
Transcribed Image Text:Question 2 A manufacturing company hired a consulting firm to identify quality control issues. The consulting firm found that 30% of work-related problems occurred on Tuesdays and that 20% occurred in the hour after a day's lunch. It was also found that 4% of worker-related problems occurred in the hour after Tuesday's lunch. a) Find the probability that a worker-related problem that occurs on Tuesday does not occur in the hour after the day's lunch. b) Given the events "problem occurs on Tuesday" and "problem occurs in the hour after the day's lunch", are they statistically independent? Justify your answer.
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