THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose that the time between successive occurrences of an event follows an exponential distribution with mean 1/λ minutes.Assume that an event occurs.
-Show that,if 4 minutes have already elapsed,the probability that a further 4 minutes will elapse before the next occurrence is e^-8λ.Explain your answer in words.

Question

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The Answer of THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose that the time between successive occurrences of an event follows an exponential distribution with mean 1/λ minutes.Assume that an event occurs. -Show that,if 4 minutes have already elapsed,the probability that a further 4 minutes will elapse before the next occurrence is e^-8λ.Explain your answer in words.