Concept explainers
Wars. In the paper “The Distribution of Wars in Time” (Journal of the Royal Statistical Society, Vol. 107, No. 3/4, pp. 242–250), L. F. Richardson analyzed the distribution of wars in time. From the data, we determined that the number of wars that begin during a given calendar year has roughly a Poisson distribution with parameter λ = 0.7. If a calendar year is selected at random, find the probability that the number, X, of wars that begin during that calendar year will be
- a. zero.
- b. at most two.
- c. between one and three, inclusive.
- d. Find and interpret the
mean of the random variable X. - e. Determine the standard deviation of X.
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