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In: Statistics and Probability

Suppose you are waiting for the mini-bus11 M at the bus station at the north gate...

  1. Suppose you are waiting for the mini-bus11 M at the bus station at the north gate of HKUST. Let ? be the waiting time (measured in minutes) of the mini-bus 11M at this station, where ?follows an exponential distribution with parameter λ =0.5. (a) Find the conditional pdf of T given that waiting time is less than 2 minutes.Plot it from 0 to 10. (b) compute conditional expexted value of T given that the waiting time is less than 2 mintues . (c) Find the probability that waiting time exceeds 4 minutes.

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