a statistics professor finds that when he schedules an office hour at 10:30 a.m.

Question

a statistics professor finds that when he schedules an office hour at 10:30 a.m. Time slot an average of three students arrive. Use the Poisson distribution to find the probability that in a randomly selected office hour in the 10:30 am slot two students will arrive. a statistics professor finds that when he schedules an office hour at 10:30 a.m. Time slot an average of three students arrive. Use the Poisson distribution to find the probability that in a randomly selected office hour in the 10:30 am slot two students will arrive. a statistics professor finds that when he schedules an office hour at 10:30 a.m. Time slot an average of three students arrive. Use the Poisson distribution to find the probability that in a randomly selected office hour in the 10:30 am slot two students will arrive.

Explanation / Answer

Note that the probability of x successes out of n trials is          
          
P(x) = u^x e^(-u) / x!          
          
where          
          
u = the mean number of successes =    3      
          
x = the number of successes =    2      
          
Thus, the probability is          
          
P (    2   ) =    0.224041808 [ANSWER]

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