Probability and Statistics - MATH F113
Semester II 2021- 2022
Instructors: Dr. Yasmeen Akhtar, Dr. Gunja Sachdeva, Dr. Shilpa Gondhali
Audience: 1st year B.E. students at BITS Pilani K K Birla Goa Campus (Sec 21, 22, 23, 24)
Tutors: Abhishek Yadav, Askar Ali, Sayantan Ganguly, Ram Singh
Schedule: Offline/ Online (TBA)
Lectures: Tuesday, Thursday 12:00-01:30 PM (Sec 21, 22) at LT3
Tuesday, Thursday 04:00-05:30 PM (Sec 23, 24) at LT3
Tutorial: Monday 8:00-8:50 AM
Course Handout: Here.
Weekly schedule:
10/05/22 - 20/06/22 First half of the course by Dr. Gunja Sachdeva and Dr. Shilpa Gondhali.
21/06/22 - Markov's inequality, Chebyshev's inequality, Joint prob. distribution, Marginal & conditional distribution, independent r.v.s
23/06/22 - Examples, Functions of jointly distributed r.v s, Expectation, Covariance
28/06/22 - Examples, Correlation, Linear combination of r.v s
02/07/22 - Midsemester Exam
05/07/22 - Statistic and Random Sample, Distribution of Sample Mean and, Sample Total, The Central Limit theorem
07/07/22 - Approximating the Binomial distribution, Examples, Point Estimation, Unbiased Estimator
12/07/22 - MVUE, Standard Error, Method of Moments, Method of Maximum Likelihood
14/07/22 - Example, Confidence Interval, Confidence level, Precision, Sample Size---(For Population Mean)
16/07/22 - Quiz 2
19/07/22 - Example, CI for population proportion, One-sided Confidence bound, t-distribution, t confidence Interval, Prediction Interval, Chi-square critical value
21/07/22 - Hypothesis Testing, P-value, Type I and Type II error
26/07/22 - z-test, Large sample test, and One sample t-test for Hypotheses about the population mean
28/07/22 - Simple linear regression: Least squares line, Coefficient of determination, Distribution of point-estimator for the slope parameter, CI for slope parameter, Model Utility Test
01/08/22 - Last day for classwork
12/08/22 -Comprehensive Exam