Workers in a factory have to take their work to the quality control department before the product reaches the end of the production process. There are a large number of employees and arrivals are approximately 20 per hour, following a Poisson process. The time to inspect a part follows an exponential distribution of mean 4 minutes. Calculate the average number of workers in quality control if there are: a. 2 inspectors b. 3 inspectors
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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