Orders arrive at a Web site according to a Poisson process with a mean of11per hour. Determine the following:

a) Probability of no orders in five minutes.

Round your answer to three decimal places (e.g. 98.765).

P=________________________________

b) Probability of 3 or more orders in five minutes.

Round your answer to three decimal places (e.g. 98.765).

P=____________________________________

c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001.

Round your answer to two decimal places (e.g. 98.76).

T=________________________