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. a) What is the probability that there is more than one pest emergence in two weeks? b) What is the probability that two pest emergences occur in the course of two consecutive weeks if you know that there has been no pest emergence in the first of the two weeks?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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.
a) What is the
b) What is the probability that two pest emergences occur in the course of two consecutive weeks if you know that there has been no pest emergence in the first of the two weeks?
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