Dr. Smith is a teacher in the education department who serves one student at a time throughout the day. He can serve an average of 8 students per hour and the students arrive at his office at a rate of 3.6 per hour. a) What is the average time a student spends at Dr. Smith’s office (either waiting or meeting with Dr. Smith)? b) What is the probability that 4 students will arrive at Dr. Smith’s office in the next hour? c) What is the average number of students at Dr. Smith’s office (either waiting or meeting with Dr. Smith)?

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Question 5) Waiting Line Analysis

Dr. Smith is a teacher in the education department who serves one student at a time throughout the day. He can serve an average of 8 students per hour and the students arrive at his office at a rate of 3.6 per hour.

a) What is the average time a student spends at Dr. Smith’s office (either waiting or meeting with Dr. Smith)?

b) What is the probability that 4 students will arrive at Dr. Smith’s office in the next hour?

c) What is the average number of students at Dr. Smith’s office (either waiting or meeting with Dr. Smith)?

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