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Exercise 6-53 Algo Assume a Poisson random variable has a mean of 5 successes over a...

Exercise 6-53 Algo

Assume a Poisson random variable has a mean of 5 successes over a 125-minute period.


a. Find the mean of the random variable, defined by the time between successes.




b. What is the rate parameter of the appropriate exponential distribution? (Round your answer to 2 decimal places.)



c. Find the probability that the time to success will be more than 70 minutes. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)

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