Homework Soursea statistics professor finds that when he schedules an offic
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.
Solution
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]
