Roll Numbers | Classroom | Instructor | Teaching Assistant |

BE, BS, CH, ED, MM, NA | CRC \(305\) | Dr. Sivaram Ambikasaran | Kandappan, MA16D300 |

CS | CRC \(304\) | Dr. Sundar | Nityananda Roy, MA16D018 |

ME18Bxyz where xyz \(\leq 120\) | CRC \(205\) | Dr. Sarang Sane | Rohini S, MA17D017 |

AE, CE, EE, EP, PH, HS, Remaining ME | CRC \(204\) | Dr. Dipramit Majumdar | Pratiksha, MA17D004 |

Axiomatic definition of probability, Conditional probability, Independent Events, Bayes' theorem, Counting

Probability mass function, Cummulative distribution function, functions of random variables, expectation, mean, median, variance, Joint PMF, Conditioning, Independence

Cummulative distribution function, Probability density function, functions of random variables, expectation, mean, median, variance, Joint PDF, Conditioning, Independence, normal random variables

Derived distributions, Covariance and correlation, conditional expectation and variance, moment generating function, sums of random variables, Markov and Chebyshev inequality

Weak law of large numbers, Central limit theorem.

Sampling distribution, Estimation of parameters, Maximum likelihood estimates, Confidence intervals, Studentâ€™s t-distribution, Linear Regression, Hypothesis testing.

Introduction to Bernoulli and Poisson processes

Discrete-Time Markov Chains, Classification of states, Steady-State behavior, Absorption probabilities and expected time to absorption

Problem Set 1 Problem Set 1 solution

Problem Set 2 Problem Set 2 solution

Problem Set 3 Problem Set 3 solution

Problem set 4 Problem set 4 solution

Problem set 5 Problem set 5 solution

Problem set 6 Problem set 6 solution part I Problem set 6 solution part II

Problem set 7 Problem set 7 solution

Problem set 8 Problem set 8 solution

(referred as BT in Calendar)*Introduction to Probability*, by Dimitri Bertsekas and John N. Tsitsiklis

We will be omitting Chapter 8 and Sections 5.3, 5.5, 7.5.

*Introductory Probability and Statistical Applications*, by Paul L. Meyer (referred as PLM in Calendar)(referred as M\(^2\) in Calendar)*John E. Freund's Mathematical Statistics with Applications*, by Irwin Miller and Marylees Miller(referred as Ibe in Calendar)*Fundamentals of Applied Probability and Random Processes*, by Oliver C. Ibe

Evaluation | Quiz-I | Quiz-II | EndSem |

Points | 20 | 20 | 60 |

Date | February \(17\), Monday | March \(30\), Monday | April \(29\), Wednesday |