In a study of the effectiveness of an insecticide against a certain insect a large area of land was sprayed. Later the area was examined for live insects by randomly selecting squares and counting the...

In a study of the effectiveness of an insecticide against a certain insect a large area of land was sprayed. Later the area was examined for live insects by randomly selecting squares and counting the number of live insects per square. Past experience has shown the average number of live insects per square after spraying to be 0.5. If the number of live insects per square follows a Poisson distribution, what is the probability that a selected square will contain:

(b)   Exactly one live insect?   (a)   No live insects?

(c)   Exactly four live insects?

          (d)One or more live insects