A statistics professor finds that when he schedules an office hour for student help, an average of 1 students arrive. Find the probability that in a randomly selected office hour, the number of student arrivals is 3.

6.13% probability that in a randomly selected office hour, the number of student arrivals is 3.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given time interval.

A statistics professor finds that when he schedules an office hour for student help, an average of 1 students arrive.

This means that .

Find the probability that in a randomly selected office hour, the number of student arrivals is 3.

This is P(X = 3). So

6.13% probability that in a randomly selected office hour, the number of student arrivals is 3.

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step-by-step explanation: