Question

In: Statistics and Probability

Let Y be the time in minutes between successive admissions to a hospital emergency room, and...

Let Y be the time in minutes between successive admissions to a hospital emergency room, and suppose that Y is exponentially distributed with parameter λ = 0.10. Find and interpret.
a) The expected time and standard deviation between two successive admissions, interpret a conclusion.
b) P (Y≤ 10.5)
c) 63rd percentile (P63) and interpret.
d) The probability of 2 patients arriving in half an hour.
e) The probability that the time in 4 consecutive arrivals of the next 7 consecutive arrivals will pass less than 15 minutes. Notice n = 6

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Given that random variable x exponentially distributed with parameter alpha = 0.10


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