In a certain communication system, there is an average of 1 transmission error per 10 seconds. Assume that the distribution of transmission errors is Poisson. The probability of 1 error in a period of one-half minutes is approximately _
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The Poisson distribution is a discrete probability distribution with a parameter
λ
which represents a rate. In this problem the rate is given as 1 transmission error per 10 seconds. But the question asks for a probability for a length of time different than that used to define the rate. How do we solve this problem? To do so, the rate per unit time and the elapsed time in the probability must match.
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