After 8:00pm on any Thursday, the amount of time a person spends waiting in line to get into a well-known pub is a random variable represented by X. Suppose we can model the behavior of X with the Exponential probability distribution with a mean of waiting time of 37 minutes. It has been 30 minutes since you entered the lineup to get into the pub, and you are still waiting. What is the probability that you will have waited at most 52 minutes, in total? 45% of the time, you will wait at most how many minutes to get into this pub?
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