1. Solution: 1. Markov chain 2. Transition 3. one step 4. probability Markov Processes 2. Random Processes Solution: 1. 2. 3. 4. 5. 6. power spectral density cross power density weiner khintchine theorem linear time invariant white noise band limited white noise Answer: Normal Distirbution Discrete Randomvariables Continuous Randomvariables Poisson Distribution One Random variables Four correlation ergodic 3. Ronald and Michelle have two children. The probability that the first child is a girl is 50%. The probability that the second child is a girl is also 50%. Ronald and Michelle tell you that they have a daughter. Answer: There are four possibilities for two children, with equal probabilities: first child: second child: 1 girl girl 2 girl boy 3 boy girl 4 boy boy Fallen phrase puzzle Solution: Two dimensional random variable in probability and random processes 4.Match the following 1. 2. 3. 4. 5. 6. 7. 8. Discrete distribution - (a) Binomial distribution Normal Table - (b) Standard variate Poisson processes - (c) Normal curve Mean= np - (d)Geometric distribution Standard deviation - (e)Uniform distribution Transition probability - (f)Variance=λt Continuous distribution- (g)Normal distribution Central limit theorem - (h)Markov processes Answer: 1-d,2-c,3-f,4-a,5-g,6-h,7-e,8-b 5.Find the hidden message in the picture Multi server multi queue Single server single queue Queue with finite waiting room Single queue multi server
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