. 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?
Answers
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^(-λ) / x!
P(16) = 16¹⁶e⁻¹⁶/16!
= 0.099
≈ 0.1
approximate probability that 16 customers will be coming to the parlour in a particular 4-minute period on a given day ≈ 0.1
Learn More:
The number of traffic accidents that occur on a particular stretch of ...
brainly.in/question/15583001
The number of traffic accidents that occur on a particular stretch of ...
brainly.in/question/9077309