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I would like a full detailed explanation and solution for the continuous random variable exercise BELOW Each part of the question should be fully explained

I would like a full detailed explanation and solution for the continuous random variable exercise BELOW Each part of the question should be fully explained word for word Question The time (in minutes) between consecutive calls at a call centre can be modelled by an exponential distribution. a) If it is known that the probability of consecutive calls coming within a minute of each other is equal to twice the probability of more than 2 minutes between calls, calculate [HINT: multiply your final equation by ^2 and then solve for ] b) What is the average number of minutes between consecutive calls. c) What is the probability that more than 3 minutes elapse between calls (leave your answer as a fraction)

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