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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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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