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Please provide clear explanation and show your steps. Thank you! 2. Busy 312 Students (10 points) CSE 312 students sometimes delay laundry for a few

Please provide clear explanation and show your steps. Thank you!

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2. Busy 312 Students (10 points) CSE 312 students sometimes delay laundry for a few days (to the chagrin of their roommates). A busy 312 student must complete 3 problem sets before doing laundry. Each problem set requires 1 day with probability 2/3 and 2 days with probability 1/3. (The time it takes to complete different problem sets is independent.) Let B be the number of days a busy student delays laundry. What is the probability mass functi0n for B

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