a) What is the probability that among five growers randomly sampled, two decide not to apply pesticides? b) What is the probability that among 10 randomly sampled growers, more than nine decide to apply pesticides?
Environment-friendly agricultural practice includes the application of pesticides when it is really necessary, e.g., at the beginning of a pest emergence. Such practice, depending on the field conditions, and the reaction of growers, for the same level of “alert”, inspired this question.Assume that in the middle of the growing season in a given area, there is one pest emergence every two weeks on average.
There is a generalized emergence of pests in a given area. At this stage of the emergence, not all growers decide to apply pesticides, hoping that the emergence will be brief or without implication for their field. Accordingly, assume 75% of the growers in that area at that time decide to apply pesticides.
a) What is the probability that among five growers randomly sampled, two decide not to apply pesticides?
b) What is the probability that among 10 randomly sampled growers, more than nine decide to apply pesticides?
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