In 2000, there were about 530 motor vehicle thefts for every 100,000 registrations. Assuming 

(1) A Poisson distribution, 

(2) A community with a comparable theft rate and 1000 registered motor vehicles, and 

(3) x = the number of vehicles stolen during the year in that community, determine the following:

a. E(x)
b. P(x = 3)
c. P(x = 5)
d. P(x ≤ 8)
e. P(3 ≤ x ≤ 10)