A survey of Mason students was conducted. The students were…

A survey of Mason students was conducted. The students were asked if they were currently in a relationship and if they were involved in sports. Of those surveyed, 45% reported that they are currently in a relationship, 15% stated they are involved in sports and 10% answered yes to both survey questions. (Hint: Construct a Venn diagram). Find the probability that a randomly selected student is in a relationship or involved in sports, but not in both. 

On a multiple-choice​ exam, there are four possible answers…

On a multiple-choice​ exam, there are four possible answers to each of 40 questions. Each question has only one correct answer. Jane has not studied for the exam and must guess the answer to each question. (You may assume that the guesses are independent of each​ other.) The number of correct guesses that​ Jane can expect to obtain is

At a particular intersection with flashing red lights in all…

At a particular intersection with flashing red lights in all directions, only 5% of all drivers come to a complete stop when no other cars are visible. If an individual starts observing this intersection at a particular time, what is the probability that the 10th driver they observe under these conditions is the first to come to a complete stop?