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

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45