# Math-353-26.pdf - First Mid Term Mu Exam, S2 1442 M 380 –...

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ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــAnswer the following questions:Q1: [4+5]a) The joint probability density function of the two random variablesXandisf(x,y)=8xy ,0xy1. Find3Y Xf(y)b) Given the joint probability mass functions of two random variablesXandas in the following table:1201/80101/4201/431/80i) Find(X,Y)ii) Determine whetherXandYare two independent random variables or not?Justify your answer.Q2: [4+4]XYY1Y301/81/80X=NKing Saud UniversityCollege of SciencesDepartment of MathematicsFirst Mid Term Mu Exam,S2 1442M 380Stochastic ProcessesTime: 90 minutes
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Term
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Tags
Probability theory, probability density function, King Saud University, joint probability density function