410Exam1Aans.pdf - STAT 410 Spring 2019 3GR 3UG Name Version A ANSWERS NetID Exam 1 Page Be sure to show all your work your partial credit might depend

410Exam1Aans.pdf - STAT 410 Spring 2019 3GR 3UG Name...

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STAT 410 Spring 2019 3GR, 3UG Version A Name ANSWERS . NetID ____________________ Exam 1 Page Earned / 75 Be sure to show all your work; your partial credit might depend on it. Put your final answers at the end of your work, and mark them clearly. If the answer is a function, specify what kind of function it is ( pdf, pmf, cdf, or mgf ) , and its support must be included. No credit will be given without supporting work. The exam is closed book and closed notes. You are allowed to use a calculator and one 8½" x 11" sheet with notes. Turn in all scratch paper with your exam. 1 2 3 4 5 6 Total ___________________________________________________________________________ Academic Integrity The University statement on your obligation to maintain academic integrity is: If you engage in an act of academic dishonesty, you become liable to severe disciplinary action. Such acts include cheating; falsification or invention of information or citation in an academic endeavor; helping or attempting to help others commit academic infractions; plagiarism; offering bribes, favors, or threats; academic interference; computer related infractions; and failure to comply with research regulations. Article 1, Part 4 of the Student Code gives complete details of rules governing academic integrity for all students. You are responsible for knowing and abiding by these rules.
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1. Every week, Alex receives 6 rubles allowance from his parents. He usually spends most of it buying candy. In Alex’s favorite candy store, Skittles are sold in bulk at 2 rubles per kg, and M&M’s are sold at 3 rubles per kg. Let X and Y denote the weight (in kg) of Skittles and M&M’s Alex buys, respectively. Let the joint probability density function for ( X , Y ) be f ( x , y ) = 5 x y , x > 0, y > 0, 2 x + 3 y < 6, zero otherwise.
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