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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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Corona pandemic hospital's doctors receive an average of 2,100 patients per hour. The time between arrivals of patients follows an exponential distribution. Doctors can handle an average of 70 patients per hour. The time required for a treatment is also exponentially distributed. Hospital can put up to 30 people on rooms. If 30 people are on rooms of hospital, hospital is closed to the other patients. Also hospital has 70 doctors.
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