SOLUTION: Please help me solve the following problem. At the University of Science and Technology,students arrive at the examination centre to write examinations at an average rate of 3 s

Question 1075147: Please help me solve the following problem.
At the University of Science and Technology,students arrive at the examination centre to write examinations at an average rate of 3 students per minute. Assuming that the student arrival rate follows an appropriate probability distribution, determine the probability that at most two students arrive in a given minute.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We use the Poisson(P) Probability Distribution
:
The formula for P is
:
P(x;u) = (e^u) * (u^x) / x!, where e = 2.71828
:
To solve the problem we need to calculate
:
P(0;3) + P(1;3) + P(2;3) = 0.05 + 0.15 + 0.22 = 0.42
:

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