Practice Question 3: Suppose the time to do a health check (X) is exponentially distributed with an average of 20 minutes. a) What is the parameter of this exponential distribution (2)? b) What is the probability that a health check can be done in less than 15 minutes? c) What is the probability that a health check can be done in more than 25 minutes? d) What is the probability that a health check can be done in between 15 and 25 minutes) e) A health check already took 20 minutes, what is the probability that the health check can be done in less than 30 minutes?

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