# Math-353-19.pdf - First Mid Term, S1-1441H M 380 –...

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1ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــAnswer the following questions:Q1: [4+4]a) Ifexp( )Tprove that:()(),0pr Tts Tspr Ttb) The lifetimeTof a certain component has an exponential distribution withparameterλ=0.03. Find pr(110100)TQ2: [4+5]a) The joint probability density function of the two random variablesXandisf(x,y)=8xy ,0xy1. Find2X Yf(x)b) Given the following joint distribution.Calculate(X,Y)tsTY1.King Saud UniversityCollege of SciencesDepartment of MathematicsFirst Mid Term, S1-1441HM 380Stochastic ProcessesTime: 90 minutes - Female Sec.
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Term
Fall
Professor
NoProfessor
Tags
Probability distribution, Probability theory, probability density function, T exp