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An ice-cream parlour receives a customer …

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An ice-cream parlour receives a customer at an average rate of 4 per minute. If the number of customers received by the parlour follows a Poisson distribution, what is the approximate probability that 16 customers will be coming to the parlour in a particular 4-minute period on a given day?

Posted by Arpit Jain 2 years, 8 months ago

CBSE > Class 12 > Applied Mathematics

2 answers

Madhav Kaushik 2 years, 5 months ago

Hello

Gembali Harsha Vardhan 2 years, 6 months ago

Given An ice-cream parlour receives a customer at an average rate of 4 per minute. If the number of customers received by the parlour follows a Poisson distribution, To Find the approximate probability that 16 customers will be coming to the parlour in a particular 4-minute period on a given day Solution: an average rate of 4 per minute. => an average rate of 4* 4 per 4 minute. => an average rate of 16 per 4 minute. Hence mean = 16 λ = 16 = P(x) = λx e^(-^) / x! P(16) = 16¹6e-16/16! = 0.099 = 0.1

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