Find the probability that: 1. Mr. Amankwah Amaniapong’s garden has exactly 4 plants; 2. Mrs. Amankwah Amaniapong’s garden has at least 6 but fewer than 10 plants; 3. Mr. Amankwah Amaniapong has at least one plant and Mrs. Amankwah Amaniapong’s garden has none.
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:
1. Mr. Amankwah Amaniapong’s garden has exactly 4 plants;
2. Mrs. Amankwah Amaniapong’s garden has at least 6 but fewer than 10 plants;
3. Mr. Amankwah Amaniapong has at least one plant and Mrs. Amankwah Amaniapong’s garden has none.
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