The exponential distribution has a characteristic that is called the memoryless property. This means P(X x)

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The exponential distribution has a characteristic that is called the “memoryless” property. This means P(X

x) P(X x x0 X x0). To illustrate this, consider the calls coming into 911. Suppose that the distribution of the time between occurrences has an exponential distribution with a mean of one half hour ( 0.5).

a. Calculate the probability that no calls come in during the first hour.

b. Now suppose that you are monitoring the call frequency and you note that a call does not come in during the first two hours. Determine the probability that no calls will come in during the next hour.

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