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By K.D. Pavate

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If the die is tossed 10 times (n=10), then the binomial distribution for r success is given by 10 C r p r q10"r. Another example of a binomial distribution comes from a doctor's nursing home. 1. Now, on a particular day there are exactly 20 patients in his nursing home (n = 20). It is difficult to say which patient will survive and which will not. The actual number of survivals can be estimated using the binomial distribution. 12 Probability of 19 surviving P(r=19) = ^ C i g t O ^ P W . 27 Using these two probabilities we can estimate the probability of not more than one patient dying.

Their outcomes xi were said to be discrete. Each outcome xi was assigned a probability P(xi). The constraints imposed on these probabilities are: (1) that P(xi)'s are positive numbers with magnitudes between 0 and 1, and (2) that the sum of the probabilities for all the outcomes add up to 1. We have considered the notion of events as subsets in sample spaces. These events have probabilities depending on the number of sample points contained within them. Mathematical models and graphical descriptions for combinations of events were also described in the earlier sections.

Their outcomes xi were said to be discrete. Each outcome xi was assigned a probability P(xi). The constraints imposed on these probabilities are: (1) that P(xi)'s are positive numbers with magnitudes between 0 and 1, and (2) that the sum of the probabilities for all the outcomes add up to 1. We have considered the notion of events as subsets in sample spaces. These events have probabilities depending on the number of sample points contained within them. Mathematical models and graphical descriptions for combinations of events were also described in the earlier sections.

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