TheDenver Postreported that, on average, a large shopping center had an incident of shoplifting caught by security 2.5 times every five hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Letrbe the number of shoplifting incidents caught by security in an 11-hour period during which the center is open.

What is? (Use 3 decimal places.)

(b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? (Use 4 decimal places.)

(c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security? (Use 4 decimal places.)

(d) What is the probability that from 10 A.M. to 9 P.M. there will be no shoplifting incidents caught by security? (Use 4 decimal places.)