The effects of an antidepressant drug varies from person to person. Suppose that ...

The effects of an antidepressant drug varies from person to person. Suppose that the drug is effective on 89% of women and 65% of men. It is known that 66% of the people who take the drug are women. What is the probability that the drug is effective?

A factory’s worker productivity is normally distributed. One worker (worker 1) produces an average of 75 units per day with a standard deviation of 20. Another worker (worker 2) produces at an average rate of 65 per day with a standard deviation of 21. What is the probability that during one week (5 working days) worker 1 will produce more than worker 2?