In some problems of occupancy theory we are con-cerned with the number of ways in which certain distin-guishable objects can be distributed among individuals, urns, boxes, or cells. Find an expression for the number ofways in which r distinguishable objects can be distributedamong n cells, and use it to find the number of ways inwhich three different books can be distributed among the12 students in an English literature class.
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!
cerned with the number of ways in which certain distin-
guishable objects can be distributed among individuals,
ways in which r distinguishable objects can be distributed
among n cells, and use it to find the number of ways inwhich three different books can be distributed among the
12 students in an English literature class.
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