**Mathematical & Statistical Techniques-I**

**FYBCOM**

**Semester I**

**MATHEMATICS : (40 Marks)****UNIT - I : Shares and Mutual Funds (15 Lectures)**

l Shares : Concept of share, face value, market value, dividend, equity shares, preferential shares, bonus shares. Simple examples.

l Mutual Funds : Simple problems on calculation of Net income after considering entry load, dividend, change in Net Asset Value (N.A.V.) and exit load. Averaging of price under the Systematic Investment Plan (S.I.P.)

**Unit - II : Permutation, Combination and Linear**

Programming Problems (15 Lectures)

l Permutation and Combination: Factorial Notation, Fundamental principle of counting, Permutation as arrangement, Simple examples, combination as selection, Simple examples, Relation between nCr and nPr Examples on commercial application of permutation and combination.

l Linear Programming Problem: Sketching of graphs of (i) linear equation Ax + By + C = 0 (ii) linear inequalities. Mathematical Formulation of Linear Programming Problems upto 3 variables. Solution of Linear Programming Problems using graphical method up to two variables.

**STATISTICS : (60 Marks)****Unit - III : Summarization Measures (15 Lectures)**

l Measures of Central Tendencies: Definition of Average, Types of Averages: Arithmetic Mean, Median, and Mode for grouped as well as ungrouped data. Quartiles, Deciles and Percentiles. Using Ogive locate median and Quartiles. Using Histogram locate mode. Combined and Weighted mean.

l Measures of Dispersions: Concept and idea of dispersion. Various measures Range, Quartile Deviation, Mean Deviation, Standard Deviation, Variance, Combined Variance.

**Unit - IV : Elementary Probability Theory (15 Lectures)**

l Probability Theory: Concept of random experiment/trial and possible outcomes; Sample Space and Discrete Sample Space; Events their types, Algebra of Events, Mutually Exclusive and Exhaustive Events, Complimentary events.

Classical definition of Probability, Addition theorem (without proof), conditional probability.

Independence of Events: P( A Ç B ) = P(A) P(B). Simple examples.

l Random Variable: Probability distribution of a discrete random variable; Expectation and Variance of random variable, simple examples on probability distributions.

**Unit - V : Decision Theory (15 Lectures)**

Decision making situation, Decision maker, Courses of Action, States of Nature, Pay-off and Pay-off matrix; Decision making under uncertainty, Maximin, Maximax, Minimax regret and Laplace criteria; simple examples to find optimum decision. Formulation of Payoff Matrix. Decision making under Risk, Expected Monetary Value (EMV); Decision Tree; Simple Examples based on EMV. Expected Opportunity Loss (EOL), simple examples based on EOL.

Add To Cart | No |
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ISBN-13 | 978-81-946748-7-0 |

AUTHOR | Dr. M. N. Welling, Mrs. P. M. Saraph, Dr. (Mrs.) S. M. Diwanji |

YEAR | 2020 |

ED | Fifth |

PAGES | 368 |

SUBJECT | Mathematical & Statistical Techniques-I FYBCOM Semester I |

LANGUANGE | English |