Answer:
The probability that on a randomly selected day the statistics professor will have five messages is 0.1755.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of e-mail messages per day a statistics professor receives from students.
The random variable is approximated by the Poisson Distribution with parameter <em>λ</em> = 5.
The probability mass function of <em>X</em> is as follows:
Compute the probability that on a randomly selected day she will have five messages as follows:
Thus, the probability that on a randomly selected day the statistics professor will have five messages is 0.1755.