QUESTION 1 Which of the following is NOT TRUE about discrete joint probability distribution, f(x,y)? O f(x,y) directly gives the probability that random variable X takes on a specific value x AND random variable Y takes on a specific value y, i.e. if an experiment were run and an observation made. O f(x,y) MUST be non-negative for all (x,y) combinations Of(x,y) directly gives the probability that random variable X takes on a specific value x OR random variable Y takes on a specific value y, i.e. if an experiment were run and an observation made. O the sum of f(x,y) values over the infinite x-y plane MUST equal unity, i.e. 1. QUESTION 2 Which of the following is NOT TRUE about continuous joint probability distribution, f(x,y)? O the integral of f(x,y) over the infinite x-y plane MUST equal unity, i.e. 1. the probability that random variable X AND random variable Y fall into a region of the x-y plane is calculated by integrating f(x,y) over that portion of the x-y plane, i.e. if an experiment were run and an observation made. O f(x,y) MUST be non-negative for all (x,y) combinations O f(x,y) directly gives the probability that random variable X takes on a specific value x AND random variable Y takes on a specific value y, i.e. if an experiment were run and an observation made. QUESTION 3 From module 4, the probability that continuous random variable X falls into a specfic x-interval is eqaul to the area under the p.d.f. f(x) curve for that x-interval. Extending to the two continuous random variable case, what is the associated probability that X falls into a specific x-interval AND Y falls into a specific y-interval? O The total surface area of the joint p.d.f. f(x,y) surface over the entire x-y plane. The total volume under the joint p.d.f. f(x,y) surface over the entire x-y plane. O The volume under the joint p.d.f. f(x,y) surface over the specific region of the x-y plane. O The surface area of the joint p.d.f. f(x,y) surface over the specific region of the x-y plane. QUESTION 4 Consider continuous random variables X and Y with a uniform joint p.d.f. in the region 0