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

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? Geometric Binomial Uniform Poisson 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

Solution:-

a) We can use poisons distribution model for number of purchases per minute.

b) The probability that in any one minute at least one purchase is made is 0.8892.

= 2.2

By applying poisons distribution:-

P(x; ) = (e-) (x) / x!

P(x > 1) = 0.8892

c) The probability that no one makes a purchase in the next two minutes is 0.0123.

= 4.4 (For two minutes)

By applying poisons distribution:-

P(x; ) = (e-) (x) / x!

P(x = 0) = 0.0123

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