In a certain garden which has been treated with agro chemicals, new plants grow at

an average rate of 10% within a square meter. When this same garden is not treated

with agro chemicals, plants grow at an average rate of 30% within a square meter.

You may assume that the number of plants that grow in the garden may be modelled

by a Poisson distribution. Mr Amankwah Amaniapong has a rectangular garden

measuring seven-hundred centimeters by three hundred centimeters. He uses these same

agro chemicals to treat his garden. Mrs. Amankwah Amaniapong also has a

rectangular garden with a dimension of five hundred centimeters by four hundred

centimeters. She has decided not to apply these agro-chemicals in her garden.

Find the probability that:

a) Mr. Amankwah Amaniapong's garden has exactly 4 plants;

b) Mrs. Amankwah Amaniapong's garden has at least 6 but fewer than 10 plants;

c) Mr. Amankwah Amaniapong has at least one plant and Mrs. Amankwah

Amaniapong's garden has none.