Problem 1Q Problem 2Q Problem 3Q Problem 4Q: Find c if fX,Y(x,y)=cxy for X and Y defined over the triangle whose vertices are the points... Problem 5Q Problem 6Q: Four cards are drawn from a standard poker deck. Let X be the number of kings drawn and Y the number... Problem 7Q: An advisor looks over the schedules of his fifty students to see how many math and science courses... Problem 8Q: Consider the experiment of tossing a fair coin three times. Let X denote the number of heads on the... Problem 9Q: Suppose that two fair dice are tossed one time. Let X denote the number of 2s that appear, and Y the... Problem 10Q: Let X be the time in days between a car accident and reporting a claim to the insurance company. Let... Problem 11Q: Let X and Y have the joint pdf fX,Y(x,y)=2e(x+y),0xy,0y Find P(Y3X). Problem 12Q: A point is chosen at random from the interior of a circle whose equation is x2+y24. Let the random... Problem 13Q: Find P(X2Y) if fX,Y(x,y)=x+y for X and Y each defined over the unit interval. Problem 14Q Problem 15Q: A point is chosen at random from the interior of a right triangle with base b and height h. What is... Problem 16Q Problem 17Q: Find the marginal pdfs of X and Y for the joint pdf derived in Question 3.7.8. Problem 18Q Problem 19Q: For each of the following joint pdfs, find fX(x) and fY(y). (a) fX,Y(x,y)=12,0x2,0y1 (b)... Problem 20Q: For each of the following joint pdfs, find fX(x) and fY(y). (a) fX,Y(x,y)=12,0xy2 (b)... Problem 21Q Problem 22Q Problem 23Q Problem 24Q Problem 25Q: Consider the experiment of simultaneously tossing a fair coin and rolling a fair die. Let X denote... Problem 26Q Problem 27Q: For each of the following joint pdfs, find FX,Y(x,y). (a) fX,Y(x,y)=32y2,0x2,0y1 (b)... Problem 28Q Problem 29Q Problem 30Q Problem 31Q: Given that FX,Y(x,y)=k(4x2y2+5xy4),0x1,0y1, find the corresponding pdf and use it to calculate... Problem 32Q Problem 33Q Problem 34Q Problem 35Q Problem 36Q Problem 37Q Problem 38Q Problem 39Q Problem 40Q: Suppose that each of two urns has four chips, numbered 1 through 4. A chip is drawn from the first... Problem 41Q: Let X and Y be random variables with joint pdf fX,Y(x,y)=k,0x1,0y1,0x+y1 Give a geometric argument... Problem 42Q: Are the random variables X and Y independent if fX,Y(x,y)=23(x+2y),0x1,0y1? Problem 43Q Problem 44Q: Find the joint cdf of the independent random variables X and Y, where fX(x)=x2,0x2, and... Problem 45Q Problem 46Q Problem 47Q Problem 48Q Problem 49Q Problem 50Q Problem 51Q: Suppose that X1,X2,X3, and X4 are independent random variables, each with pdf fXi(xi)=4xi3,0xi1.... Problem 52Q format_list_bulleted