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Quantitative Techniques – I                                     Dilfraz Singh, Lovely Professional University




                    Notes                     Unit 14: Poisson Probability Distribution


                                     CONTENTS
                                     Objectives

                                     Introduction

                                     14.1 Poisson Distribution
                                          14.1.1  Probability Mass Function
                                          14.1.2  Summary Measures of Poisson Distribution

                                          14.1.3  Poisson Approximation to Binomial

                                          14.1.4  Fitting of a Poisson Distribution
                                     14.2 Features and Uses of Poisson Distribution
                                     14.3 Summary

                                     14.4 Keywords

                                     14.5 Review Questions
                                     14.6 Further Readings

                                   Objectives

                                   After studying this unit, you will be able to:
                                       Define the term Poisson distribution

                                       Discuss Poisson process in brief
                                       Describe probability mass function
                                       Focus on various measures of poisson distribution

                                       Analyze Poisson approximation to binomial
                                       Tell the uses of Poisson Probability Distribution

                                   Introduction

                                   Poisson distribution was a limiting case of binomial distribution, when the number of trials  n
                                   tends to become very large and the probability of success in a trial p tends to become very small
                                   such that their product np remains a constant



                                     Did u know?  Poisson distribution was derived by a noted mathematician, Simon D. Poisson,
                                     in 1837.










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