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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

The average number of customers, who appear in a counter of a certain bank per minute is two. Find the probability that during a given minute no customer appears - Business Mathematics and Statistics

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Question

The average number of customers, who appear in a counter of a certain bank per minute is two. Find the probability that during a given minute no customer appears

Sum

Solution

The average number of customers

Who appear in a counter of a certain bank per minute = 2

∴ λ = 2

x follows poisson distribution with P(x) = `("e"^(-lambda)lambda^x)/(x!)`

P(no customber appears) = P(X = 0)

= `("e"^-2(2)^0)/(0!)`

= `"e"^-2`

= 0.1353

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Chapter 7: Probability Distributions - Exercise 7.2 [Page 160]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 7 Probability Distributions
Exercise 7.2 | Q 12. (i) | Page 160

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