Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1.5 patients...
Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1.5 patients per hour. What is the probability that a randomly chosen arrival to be between 10 and 15 minutes?
Homework Answers
Let the random variable X = arrival time between two patients
The random variable, X follows the exponential distribution with
mean 
Where,
Now, the probability that a randomly chosen arrival to be between 10 and 15 minutes is obtained using the cumulative distribution function for exponential distribution,
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