You can’t stand your probability professor. The amount of time you can sit in her classroom before storming out is modelled by an exponential random variable, where on average you storm out after 10 minutes.
(a) Given that you’ve already been sitting in her classroom for 30 minutes, what is the probability you will still be sitting in the classroom for 5 more minutes?
(b) What is the probability you are going to storm out in the next 10 minutes?
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