Question 60219: A statistics professor finds that when she schedules an office hour for student help, an average of two students arrive. fidn the probability that in a randomly selected office hour, the number of student arrivals is five. give the answer as a decimal value with 4 places of precision, and no leading 0.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A statistics professor finds that when she schedules an office hour for student help, an average of two students arrive. fidn the probability that in a randomly selected office hour, the number of student arrivals is five. give the answer as a decimal value with 4 places of precision, and no leading 0.
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It's a Poisson problem.
Expected number(m) to arrive in one hour is two.
Formula: P(X=k)=[m^x/x!]e^(-m)
In your problem k=5 :
P(X=5)=[2^5/5!]e^(-2)=0.0361
Cheers,
Stan H.
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