3.18, 3.28,3.38. Please provide the workings thanks

6107 PM Thu 2 Sep NANYANG TECHNOLOGICAL UNIVERSITY SPMS/ DIVISION OF MATHEMATICAL SCIENCES 2021/22 Semester 1 MH2814 Probability and Statistics Tutorial 4 For the tutorial in Week 5 (6 10 September), let us discuss . Ex. 3.13, 3.28, 3.33, 3.50, 3.52, 3.56, 3.66, 3.76. Ex. 3.18. A continuous random variable X that can assume values between :23 = 2 and a: = 5 has a density function given by ax) = 2(1 + m)/27. Find (a) M LY g 1); (c) P(X g Y); '1 (d) P(X + Y : 2). , [Answer: (a) 1/10; (b) 2/5; (c) 2/5; (d) 1/5.] 2