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An elevator in a commercial building has 52 floors, and takes approximately 0.82 seconds to travel...

An elevator in a commercial building has 52 floors, and takes approximately 0.82 seconds to travel between any of two consecutive floor numbers. Suppose that you are on any floor and do not know where the elevator currently is located the moment that you press the elevator button, and X represent the random variable for the amount of time that you have to wait for the elevator.

What is the probability that you have to wait (round to 4 decimal places):

a) More than 35 seconds?  

b) Less than 10 seconds?

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