Assume the counts recorded by Geiger counter follow Poisson process with average of two counts per minute. Round the answers to 3 decimal places.
a) Determine the probability that there are no counts in a 30-second interval?
b) Determine the probability that the first count occurs in less than 7 seconds?
c) Determine the probability that the first count occurs between 1 and 2 minutes after start-up?