Please answer the questions below and show all work.
1. If 10% of all disk drives produced on an assembly line are defective, what is the probability that there will be exactly one defect in a random sample of 5 of these? What is the probability that there will be no defects in a random sample of 5?
2. The time to complete a construction project is normally distributed with a mean of 60 weeks and a standard deviation of 4 weeks.
What is the probability the project will be finished in 62 weeks or less?
What is the probability the project will be finished in 66 weeks or less?
What is the probability the project will take longer than 65 weeks?
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