Answer:
The required probability is 0.4966
Explanation:
Consider the provided information.
The probability mass function of poisson distribution:

Where λ is called parameter.
It is given that The farmer counted 3,500 borers in the 5,000 ears.
Thus, the value of the parameter is:

The probability that an ear of corn selected at random will contain no borers is:



Hence, the required probability is 0.4966