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?

You need to solve a system of equations. you decide to use the elimination method. which of these is not allowed? 3x - 2y = 7 3x + 4y = 17 equation 1 equation 2

On #16 : explain how factoring a trinomial, ax^2+ bx+ c, when a does not equal 1 different from factoring a trinomial when a = 1.

In 2000, for a certain region, 27.1% of incoming college freshman characterized their political views as liberal, 23.1% as moderate, and 49.8% as conservative. for this year, a random sample of 400 incoming college freshman yielded the frequency distribution for political views shown below. a. determine the mode of the data. b. decide whether it would be appropriate to use either the mean or the median as a measure of center. explain your answer. political view frequency liberal 118 moderate 98 conservative 184 a. choose the correct answer below. select all that apply. a. the mode is moderate. b. the mode is liberal. c. the mode is conservative. d. there is no mode.