The unloading dock at the warehouse of PAS Supermarket has two workers who unload their own assigned truck respectively. The nter armal time of trucks is exponertal with a mean of 20 minutes while the unloading time per truck is exponential with a mean of 15 minutes. Ifa truck arrives and two workers are unioading other trucks, the amving truck joins the line of trucks waiting for service. Assume there is enough space to accommodate essentialy any number of ucks waiting in the line e Kou may use the formulas for M/M/2 Queuing Model) What is the average number of trucks in the waiting line? Ob.0.5 Oc3 Od.0.1227 Oe 2.25
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!
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