General Xupload.xlsx Insert Delete $ %9 .00 Conditional Format Cell 0 Formatting as Table Styles Format AutoSave OFF C ... Home Insert Draw Page Layout Formulas Data Review View Tell me G X Calibri (Body) 11 A A Paste B I U A R96 fx A B C D E F G H 45 Problem #2 (2.5 points) J K L 46 47 48 Airlines sometimes overbook flights. Suppose for a plane with 60 seats, 65 passengers have tickets. Note that airlines overbook as ticketed passengers often do not show up. Define a random variable X as the # of ticketed passengers who show up. Assume that X has the following mass function 49 50 51 p(x) 58 0.1 59 0.2 60 61 62 63 64 65 0.4 0.1 0.07 0.06 0.04 0.03 52 53 Part (a) What is the probability that there will be at least one ticketed passenger who will will not be able to fly? 54 (1.25 point) 55 Answer here---> 56 57 58 Part (b) What is the Var(X)? 59 (1.25 point) 60 Answer here---> 61 62 63 64 65 66 67 68 69 Problem #3 70 (2.5 points) Solve this problem on paper (make sure to have your name on upper right hand corner) This paper submission will also serve as the proof of your attendance in the exam. 71 72 73 Pdf of a random variable X is given as 74 75 |f(x)= 76 { k (1/x-1/x^2) 0 for 2 x 5 otherwise 77 78 79 80 Part (a) Find the value of k for which the above pdf f(x) is valid. 81 (1.25 point) 82 83 Part (b) 84 (1.25 point) 85 Sheet1 Ready Calculate V(X) Sheet2 Accessibility: Investigate Sheet3 No need to type anything here. Your answer to Problem #3 should be handwritten on a sheet of paper (with your name on it!) DEM Share Comments Sort & > Filter Find & Select Analyze Data Solver Show ToolPak N O P Q R S T U V W X Y |B 100%