An average of 120 students arrive each hour (interarrivaltimes are exponential) at State College’s Registrar’s Officeto change their course registrations. To complete thisprocess, a person must pass through three stations. Eachstation consists of a single server. Service times at eachstation are exponential, with the following mean times:station 1, 20 seconds; station 2, 15 seconds; station 3, 12seconds. On the average, how many students will be presentin the registrar’s office for changing courses?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
An average of 120 students arrive each hour (interarrival
times are exponential) at State College’s Registrar’s Office
to change their course registrations. To complete this
process, a person must pass through three stations. Each
station consists of a single server. Service times at each
station are exponential, with the following mean times:
station 1, 20 seconds; station 2, 15 seconds; station 3, 12
seconds. On the average, how many students will be present
in the registrar’s office for changing courses?
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