(6pts each) In the restaurant business, to turn over a table means the table was serviced and a new set of patrons have been seated at the same table. Suppose a local steakhouse tends to turn over an average of 420 tables during a typical 12 day of service according to a Poisson process.

a) What is the probability that steakhouse turns over 450 tables during a typical day?

b) What is the probability that the steakhouse turns over less than 200 tables in 6 hours?

c) What is the probability that the steakhouse turns over 100 tables or more in a 2-hour period?