No. of Pages: 3

AP) ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER M.TECH DEGREE EXAMINATION, DECEMBER 8

Electronics and Communication Engineering

Stream(s): 1. Signal Processing
2. Microwave & TV Engineering

3.Telecommunication Engineering

01EC6303 Random Processes and Applications

Answer any twofull questions from each part
Max. Marks: 60 Duration: 3 hours
PART A

1. a. State and Prove Bayes' theorem in probability.

‎If P[A}=0.5, P[B]=0.3and PIA n 8] = ௦. IS, then find P[A/BC].‏ .م

‎c. If Xis a binomially distibuted random variable WithE[X]=2and
varpq=4'3 , findP[X=5].

‎2. a. 'lhe joint pdf of two random variables X and ‏لا‎ is given by
൧൧൧5൦ 1 > «> 3,2 > ‏بز‎ > 4
0 otherwise

‎Find i) The value of c
ii) P[1
‎111) P[X+YS51