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Unformatted text preview: Discussion (WK2) Question 1: Give an example representing a discrete probability distribution and a continuous probility distribution. Explain why your choice is discrete and continuous. Discrete probability distribution: Example: If X denotes the number of heads obtained in 3 tosses of an unbiased coin, the probability distribution of X is: No. Of Heads(x) 0 1 2 3 Total Probability (p) 1/8 3/8 3/8 1/8 1 These probabilities may also be given by the p.m.f. (x) = 8 C x = (1/2) 8 A discrete random variable is chosen as it can assume a finite number of possible values or a countable infinite number of values with a definite probability associated with each distinct value of the variable such that the total probability is 1. the probability distribution of a discrete random variable shows that how total probability 1 is distributed over the different possible values of the variable. The probability of an interval of values is then given by the sum of the probabilities associated with those values which lie variable....
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- Fall '10