MA8451 Probability and Random Processes (PRP)
Prepared by
S.Santhosh (Admin)
Important questions
share it a link alone
Don't share as screenshot kind request
Don't waste my hardwork and valuable time
UNIT -1
1.Exponential Distribution( mean, variance)**
2. Poisson distribution
3. binomial ,geometric distributionrare
4. Bayes theorem
UNIT-2
1. Correlative and regression**
2. Covariance
3. central limit theorem Don't share as screenshot
UNIT-3
1. Telegraph process, Markov process
2. Poisson process
UNIT-4
1. CROSS correlation function, auto correlation**
2. Power spectral density
UNIT-5
UNIT-5
1. linear systems with random inputs
2. Auto correlation, cross correlation**
3. system transfer function**Very important questions are bolded and may be asked based on this topic
why didn't updated problem instead why am giving topics means ,i cant spend much time in typing sums and most you have material in hand .you can see topic and mark sums and work out related sums for any doubt contact me in whatsapp
do share as link
don't waste my hardwork and valuable time
As Engineer i think you know how to respect another
Share it as link alone . don't share it as screenshot or any text material if u found this anywhere kindly report me . #Admin WhatsAppContact uS
*These questions are expected for the exams This may or may not be asked for exams All the best.... from admin Santhosh
Thanks for your love and support guys keep supporting and share let the Engineers know about Us and leave a comment below for better improvements If there is any doubt feel free to ask me I will clear if I can or-else I will say some solutions ..get me through WhatsApp for instant updates ~$tuff$£ctor
Contact uS
*These questions are expected for the exams This may or may not be asked for exams
All the best.... from admin Santhosh
Thanks for your love and support guys keep supporting and share let the Engineers know about Us and leave a comment below for better improvements
If there is any doubt feel free to ask me I will clear if I can or-else I will say some solutions ..get me through WhatsApp for instant updates ~$tuff$£ctorSYllabuS
UNIT I PROBABILITY AND RANDOM VARIABLES
Probability – Axioms of probability – Conditional probability – Baye‘s theorem - Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson,Geometric, Uniform, Exponential and Normal distributions.
UNIT II TWO - DIMENSIONAL RANDOM VARIABLES
Joint distributions – Marginal and conditional distributions – Covariance – Correlation and linearregression – Transformation of random variables – Central limit theorem (for independent and
identically distributed random variables).
UNIT III RANDOM PROCESSES
Classification – Stationary process – Markov process - Poisson process – Discrete parameter Markov chain – Chapman Kolmogorov equations – Limiting distributions.
UNIT IV QUEUEING MODELS
Markovian queues – Birth and death processes – Single and multiple server queueing models –Little‘s formula - Queues with finite waiting rooms – Queues with impatient customers : Balking
and reneging.
UNIT V ADVANCED QUEUEING MODELS
Finite source models - M/G/1 queue – Pollaczek Khinchin formula - M/D/1 and M/EK/1 as special cases – Series queues – Open Jackson networks.
Probability – Axioms of probability – Conditional probability – Baye‘s theorem - Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson,Geometric, Uniform, Exponential and Normal distributions.
UNIT II TWO - DIMENSIONAL RANDOM VARIABLES
Joint distributions – Marginal and conditional distributions – Covariance – Correlation and linearregression – Transformation of random variables – Central limit theorem (for independent and
identically distributed random variables).
UNIT III RANDOM PROCESSES
Classification – Stationary process – Markov process - Poisson process – Discrete parameter Markov chain – Chapman Kolmogorov equations – Limiting distributions.
UNIT IV QUEUEING MODELS
Markovian queues – Birth and death processes – Single and multiple server queueing models –Little‘s formula - Queues with finite waiting rooms – Queues with impatient customers : Balking
and reneging.
UNIT V ADVANCED QUEUEING MODELS
Finite source models - M/G/1 queue – Pollaczek Khinchin formula - M/D/1 and M/EK/1 as special cases – Series queues – Open Jackson networks.