Every person in a group of 1000 people has a 1% chance of being infected by a virus. The process of being infected is independent from person to person.
Using random variables, write expressions for the following probabilities and solve them with R.
(a) The probability that exactly 10 people are infected.
(b) That probability that at least 16 people are infected.
(c) The probability that between 12 and 14 people are infected.
(d) The probability that someone is infected.