1. Markov Processes

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