Suppose that the times that goals are scored in a professional hockey game behave as a...
Suppose that the times that goals are scored in a professional hockey game behave as a Poisson process with rate λ = 6 per hour. Give the distribution of the time of the 3rd goal of the game. Assume the game lasts long enough to have three goals scored.
Homework Answers
No. Of goals in an hour ~ Poisson (6) distribution
So the waiting time for the first goal ~ Exponential (1/6) distribution (time is in hours)
So the waiting time for the 3rd goal ~ Exponential (3/6) distribution ie Exponential (0.5)
Now, PDF of an exponential (0.5) distribution is given as:
P(X<x) = 1 - e^-0.5x
Add Answer to:
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