Please answer following question

Exercise 1. Assume that people in a population are infected with a disease D with probability %. Consider that you take a random sample of 25 people. 1. (1 pt) What is the probability that exactly 1 person is infected with D? 2. (1 pt) What is the probability that at least 2 person is infected with D? 3. (2 pts) What is the expected value of the number of infected people and the standard deviation of the number of infected people? Let us write ,u. : *IlXj and (T : V(X) the standard deviation. 4. (1 pt) What is the probability that the number of infected people is in Lu. 20', ,u. + 20']? a. (0 pt) What is the implicit assumptions that you used in this exercise