Question

In: Statistics and Probability

During lunchtime, customers arrive at Bob's Drugs according to a Poisson distribution with λ = 5...

During lunchtime, customers arrive at Bob's Drugs according to a Poisson distribution with λ = 5 per minute. Show your answers to 3 decimal places.

What is the probability of one customer arriving?

What is the probability of more than two customers arriving?

What is the probability of at most three customers arriving?

What is the probability of at least four customers arriving?

What is the probability of fewer than two customers arriving?

Expert Solution

We are given the distribution here as:

a) Probability of one customer arriving is computed here as:

Therefore 0.034 is the required probability here.

b) The probability of more than two customers arriving is computed here as:

Therefore 0.875 is the required probability here.

c) The probability of more than 3 customers arriving is computed here as:

Therefore 0.735 is the required probability here.

d) The probability of at least four customers arriving is computed here as:

Therefore 0.735 is the required probability here.

e) The probability of fewer than 2 customers arriving is computed here as:

Therefore 0.040 is the required probability here.

orchestra answered 2 years ago

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