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UNIT : I Relations and Functions
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Relations
Types of Relations
Equivalence relations
Matrices of Relations
Functions
Types of function
Inverse function
UNIT : II Logic Connectives
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Logic -Introduction
Connectives – Introduction
Equivalence formulas
Tautological implications
Normal forms (PCNF & PDNF)
UNIT : III Probability
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Introduction – Probability
Types of Events
Simple Problems of Probability
Conditional Probability
Bayes theorem
UNIT : IV Test of Hypothesis
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Null Hypothesis
Alternate Hypothesis
Degrees of freedom
Large Sample Test
Z test – Difference Population mean and sample means
Difference between sample means test
UNIT : V Small Sample Test
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t test for single mean
difference between two means test
chi square test
F test
25UCU305: DISCRETE MATHEMATICS WITH PROBABILITY AND HYPOTHESIS TESTING
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