Fee Structure for Semester 1 :

The End Semester Question Paper will be of 90 Marks

► The following is distribution of topics, indicative weightage, and the amount of choice within each section

(i) Unit 1 and 2 would be given a combined weight of 20 marks, Unit 3 of 20 marks, Unit 4 of 30 marks and

Unit 5 would be given a weightage of 20 marks.

(ii) Units 1 and 2, would together have 3 questions, of which students would be required to do 2 questions

(iii) Units 3 would be compulsory, and would have two questions of 10 marks each.

(iv) Units 4 would be compulsory, and would have three questions of 10 marks each.

(v) Units 5 would be compulsory, and would have two questions of 10 marks each

(vi) There would be a limited number of sub-parts per question. No sub-part would be less than 5 marks and if a sub-part had more than 5 marks, the marks would be in multiples of 5.

► The internal assessment would comprise two class tests of 12 marks each. Lecture attendance will carry 6 marks. The continuous assessment would comprise of 35 marks tutorial assignment which would involve plotting the distribution in R / Excel and Quizzes / problem solving during tutorials. Tutorial attendance will carry 05 marks.

► In order to achieve uniformity in evaluation of final answer scripts, it was decided to include the following notes in final question paper:

• All questions within each section are to be answered in a contiguous manner on the answer sheet. Start each question on a new page, and all sub-parts of a question should follow one after the other.
• All intermediate calculations should be rounded off to 3 decimal places. The values provided in statistical tables should not be rounded off. All final calculations should be rounded off to two decimal places.
• Simple Calculators are allowed.

► In the question paper, if tables are to be provided, they should be done using Devore.

Chapter 1 : Population & Sample

Duration of Lectures : 113 Minutes

Based Upon J L Devore Chapter 1.1 & 1.2

Topics Covered

►Distinction between Population & Sample, Univariate Bivariate & Multivariate data, Descriptive & Inferential Statistics, Enumerative and Analytical Studies,

►Descriptive & Inferential Statistics,

►Stem & Leaf Displays,

►Dotplots,

►Histogram

Chapter 2 : Measures of Location

Duration of Lectures : 250 Minutes

Based Upon J L Devore Chapter 1.3

Topics Covered

►Frequency Series,

►Arithmetic Mean, Properties of Arithmetic Mean, Combined Mean, Corrected Mean,

►Median,

►Trimmed Median,

►Mode,

►Partition Values

Chapter 3 : Measures of Variability

Duration of Lectures : 203 Minutes

Based Upon J L Devore Chapter 1.4

Topics Covered

►Absolute and Relative Measures of Dispersion,

►Range & Coefficient of Range,

►Quartile Deviation & Coefficient of Quartile Deviation,

►Mean Deviation & Coefficient of Mean Deviation,

►Standard Deviation, Variance & Coefficient of Variation,

►Sample & Population Standard Deviation,

►Properties of Standard Deviation, Combined Standard Deviation,

►Fourth Spread & Outliers

Chapter 4 : Probability

Duration of Lectures : 542 Minutes

Based Upon J L Devore Chapter 2

Topics Covered

►Sample Spaces and Events,

►Properties of Probability,

►Use of Permutations,

►Use of Combinations,

►Addition Theorem,

►Conditional Probability,

►The Multiplication Rule & Independent Events,

►Sampling with & without replacements,

►Law of Total Probability, Baye’s Theorem,

►Mathematical Expectation

Chapter 5 : Probability Distribution of Discrete Random Variables

Duration of Lectures : 312 Minutes

Based Upon J L Devore Chapter 3.1-3.3

Topics Covered

►Random Variables, Discrete & Continuous Random Variables,

►Probability Distribution for Discrete Random Variables,

►The Probability Mass Function (PMF), The Cumulative Distribution Function,

►Expected Values & Variance of a Discrete Random Variable,

►Properties of Expected Values & Variance of a Discrete Random Variable

Chapter 6 : Probability Distribution of Continuous Random Variables

Duration of Lectures : 312 Minutes

Based Upon J L Devore Chapter 4.1-4.2

Topics Covered

►Probability Distribution for Continuous Random Variables,

►The Probability Density Function (PDF), The Cumulative Distribution Function,

►The Percentiles of a Continuous Distribution,

►Expected Values & Variance of a Continuous Random Variable,

►Properties of Expected Values & Variance of a Continuous Random Variable

Chapter 7 : Special Discrete Distributions

Duration of Lectures : 314 Minutes

Based Upon J L Devore Chapter 3.4-3.6

Topics Covered

►The Bernoulli Distribution,

►The Binomial Probability Distribution, Using Binomial Tables,

►Mean & Variance of a Binomial Distribution,

►The Hypergeometric Distribution,

►The Poisson Probability Distribution,

►Mean & Variance of a Poisson Distribution, The Poisson Process

Chapter 8 : Special Continuous Distributions

Duration of Lectures : 302 Minutes

Based Upon J L Devore Chapter 4.3-4.4

Topics Covered

►The Uniform Distribution,

►The Normal Distribution,

►The Standard Normal Distribution, Non Standard Normal Distribution,

►Approximating Binomial Distribution,

►The Percentiles of a Normal Distribution,

►The Exponential Distribution,

Chapter 9 : Jointly Distributed Random Variables

Duration of Lectures : 204 Minutes

Based Upon J L Devore Chapter 5.1-5.2

Topics Covered

►The Bivariate Distribution of Discrete Type,

►Joint Probability Mass Function, Marginal Probability Mass Function,

►The Conditional Probability Mass Function,

►The Bivariate Distribution of Continuous Type,

►Joint Probability Density Function, Marginal Probability Density Function,

►The Conditional Probability Density Function,

►Expected Values, Covariance and Correlation