3. Assume that waiting for the 2:00 o’clock bus starts at 2:00 o’clock. Let the actual arrival time in minutes past the 2:00 o’clock is , in which is an exponential r.v. with parameter . Let E be the event that you have waited for 5 minutes without seeing the bus. What is the
a. conditional pdf of (the additional time you will wait) given E?.
b. the conditional probability , given E ?
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