Customers arrat a service window according to a poisson process with an average of 0.2 per minute.

A) What is the probability that the time between two successive arrivals is less than 6 minutes?

B) What is the probability that there will be exactly three arrivals during a given 10-minute period?

Step-by-step explanation:

Given that customers arrat a service window according to a poisson process with an average of 0.2 per minute

= 12 per hour.

a) the probability that the time between two successive arrivals is less than 6 minutes

= For one hour more than 60/6 = 10 customers arrive.

P (X>10) = 0.6528

b) Prob that there will be exactly three arrivals during a given 10-minute period

P (x=3) for average 2

= 0.1804