Rework problem 29 from section 4.1 of your text about the professor who sometimes forgets to bring her briefcase to the office, but assume that, each day, the probability that she forgets the briefcase is1/919. Assume that her forgetting is a Bernoulli process.

(1) What is the probability that she remembers to bring her briefcase every day in one week (5 days)?

(2) What is the probability that she forgets to bring her briefcase every day in one week (5 days)?

(3) What is the probability that she forgets to bring her briefcase at least one day in one week (5 days)?