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A history professor finds that when he schedules an office hour at the 1030 am time slot an average of 3 students arrive. Use the poisson distribution to find the probability that in a randomly selected office hour in the 1030 am time slot exactly 5 students will arrive.

• statistics -

Poisson distribution with a mean of m:
P(x) = e^(-m) m^x / x!

P(5) = e^(-3) 3^5 / 5!

I'll let you finish the computation.

• statistics -

Thank you.. It is 0.1008..

• statistics -

Correct!

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