Probability of Mosquitoes Per Square Meter

The average number of mosquitoes in a stagnant pond is 80 per square meter with a standard deviationof 8. If 16 square meters are chosen at random for a mosquito count, find the probabilitythat the average of those counts is more than 81.6 mosquitoes per square meter. Assume that the variable is normally distributed.

Denote by Xbar the average of those counts. Then Xbar follows a normal …

This solution computes the probability of the average number of mosquitoes per square meter.