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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Define Poisson distribution

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Question

Define Poisson distribution

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Solution

Poisson distribution was derived in 1837 by a French Mathematician Simeon D. Poisson.

A random variable X is said to follow a poisson distribution with parameter X if it assumes only non-negative values and its probability mass function is given by

`"P"(x, lambda) = "P"("X" = x) = {{:(("e"^(-lambda) lambda^x)/(x!), x = 0","  1","  2","  ......; lambda > 0),(0,  "otherwise"):}`

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Chapter 7: Probability Distributions - Exercise 7.2 [Page 159]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 7 Probability Distributions
Exercise 7.2 | Q 1 | Page 159

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