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2. The amount of time (in minutes) that Dr. Swift spends helping each student that visits during office hours is a random variable having an exponential distribution with 0 11. The (a) When he arrives for office hours on Monday, there is 1 student waiting for help. What (b) Whe he arrives for office hours on Tuesday there are 2 students waiting for help time helping each student is independent of the time helping any other student is the probability Dr. Swift spends at least 25 minutes helping this student? Assuming Dr. Swift helps the students sequentially, what is the probability Dr. Swift spends at least 25 minutes combined helping these students? (c) When he arrives for office hours on Wednesday there are 3 students waiting for help Assumig Dr. Swift helps the students sequentially, what is the probability Dr. Swift spends at least 25 minutes combined helping these students?
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