There are n people on a friendship-matchmaking app. We assume that each pair of people will connect and become friends with probability 0.1, independently of other pairs. Required:
a. You are one of the n people on the app. Let X be the random variable denoting the number of friends you will make on the website. Find the PDF of X.
b. What is the expected number of friends you will make on the app?
c. What is the probability that you will make at least 2 friends on the app?
d. What is the expected number of friendships formed on the app, i. e. what is the expected number of pairs that will connect and become friends?