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In: Statistics and Probability

Customers are arriving to a shop according to Poisson process with mean 3.2 customers/hour. What is...

Customers are arriving to a shop according to Poisson process with mean 3.2 customers/hour. What is the probability that the next customer will arrive after 10 minutes but before 33 minutes?

Expert Solution

Answer:-

Given that:-

Customers are arriving to a shop according to Poisson process with mean 3.2 customers/hour.

What is the probability that the next customer will arrive after 10 minutes but before 33 minutes?

The probability that the next customer will arrive after 10 minutes but before 33 minutes

Customers are arriving to a shop according to Poisson process with mean= 3.2 customers/hour.

The interval between 10 minutes and 33 minutes, t=(33-10) = 23 minutes = Hours

Then, X= Number of customer arriving.

and

we want,

The probability that the next customer will arrive after 10 minutes but before 33 minutes is

orchestra answered 1 year ago

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