A website manager has noticed that during the evening hours, about 2.2 people pe

Question

A website manager has noticed that during the evening hours, about 2.2 people per minute check out from their shopping cart and make an online purchase. She believes that each purchase is independent of the others and wants to model the number of purchases per minute. Complete parts a through c below. a) What model might you suggest to model the number of purchases per minute? Uniform Poisson Binomial Geometric b) What is the probability that in any one minute at least one purchase is made? (Round to four decimal places as needed) c) What is the probability that no one makes a purchase in the next 2 minutes? (Round to four decimal places as needed)

Explanation / Answer

a) option b we can use poission model with parameter mean of distribution lamda

b) What is the probability that in any one minute at least one purchase is made?

lamda =2.2

P(X1)=1P(X=0)=(1e^-2.2 *2.2^0 ) / 0! = 0.8891

c)What is the probability that no one makes a purchase in the next 2 minutes?

2.2*2=4.4

P(X=0)=(e^-4.4 *4.4^0) / 0! = 0.0122

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