During the early morning hours, customers arrive at a branch post office at an average rate of 20 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 2 minutes each. Determine the probability of fewer than ten customers in the system.

Select one:

a.

0.982

b.

0.10

c.

0.0057

d.

0.001

e.

0.58