In a bag there are at first a white and a black ball. In every step n = 1,2, 3,... a ball is randomly taken from the well-mixed balls in the bag, based on the information of the previous steps uniformly distributed among the balls inside the bag. If the drawn ball is white (Event A,), then it is put back into the bag together with a new white ball. If the drawn ball is black (Event AS), then it is also put back into the bag, but no additional ball.
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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