Suppose Jennifer is waiting for a taxicab. A taxicab’s arrival time is equally likely at any...
Suppose Jennifer is waiting for a taxicab. A taxicab’s arrival time is equally likely at any constant time range in the next 12 minutes.
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Compute the expected arrival time.
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What is the probability that a taxi arrives in three minutes or less?
Homework Answers
Let X is a random variable shows the waiting time. Here X has uniform distribution with following parameters
a = 0 and b=12
The pdf of X is
----------------------------------------------
The expected arrival time is
E(X) = (a+b) / 2 = 6
-----------------------------------------
The probability that a taxi arrives in three minutes or less is
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