Environmental engineers, concerned about the effects of releasing warm water from a power plants' cooling system into a Great Lake, decided to sample many organisms both inside and outside of a warm water plume. For the zoo-plankton Cyclops, they collect \(100 \mathrm{cc}\) of water and count the number of Cyclops. The expected number is 1.7 per \(100 \mathrm{cc}\).

Use the Poisson distribution to find the probability of

(a) 1 Cyclops in a \(100 \mathrm{cc}\) sample

(b) less than or equal to 6 but more than one in a 100cc sample

(c) exactly 4 Cyclops in a sample of size \(200 \mathrm{cc}\).

(d) 2 or more Cyclops in a sample of size \(200 \mathrm{cc}\).