Answer:
And that would be the solution for this case.
Step-by-step explanation:
Previous concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:
Solution to the problem
Let X the random variable that represent the number of life insurance policies that the salesman person sells. We know that
And we want to find this probability:
And we can use the probability mass function and we got:
And that would be the solution for this case.