There is a 20% probability that a person inoculated with a particular vaccine will get the disease anyway. a county healthy office inoculates 83 people. what is the probability that exactly 10 of them will get the disease at some point in their lives?

Let be a random variable denoting the number of inoculated people in a population of size that contract this disease. is said to be binomially distributed with probability , or .

So the probability that exactly 10 of 83 people get the disease, despite inoculation against it, is