2.80. With reference to Exercise 2.70, what is the prob- ability that one of the students will be living on campus given that he or she is from out of state?3.40. Use the results of Exercise 3.39 to find expressions for the values of the probability density of the mixed rand dom variable X for (a) x 1. P(X = 0.5) = s, as we already indicated on page 80. and f(0) and f(1) are undefined.2.70. At Roanoke College it is known that of the stu- dents live off campus. It is also known that of the stu- dents are from within the state of Virginia and that of the students are from out of state or live on campus. What is the probability that a student selected at ran- dom from Roanoke College is from out of state and lives on campus?3.22. The p.d.f. of the random variable X is given by for 0 er 1)