MATH 353 — Probability and Statistics 1
BSc BSc Computer Engineering · Kwame Nkrumah University of Science and Technology
Introduction to Probability Theory: Random Experiments, Definition of terms and notations and determination of Measure of Probability. Basic Laws/Rules of Probabilty including Compound Events, Computation of Probabilities involving Simple Events, Application to Counting Techniques and Decision Problems Random Variables and Probability Distribution: Concept of random variables, Properties of Probability distributions, Cumulative Distribution Functions and Sketching of Distribution Functions. Expected Value, Median and Variance of Random Variable and their Applications to Decision Problems Moments and Moment Generating Functions: Definition of Moments about the Origin and the Mean and their uses; Definition, properties and Uses of Moment Generating Functions Some Special Probability Theorems: The Central Limit Theorem, Empirical Rule, Chebyshev’s Inequality and the (Weak) Law of large Numbers; Applications of the Theorems. Properties and Applications of some Special Probability Theorems: Discrete Distributions: independent Bernoulli’s Trials and related probability distributions such as Bernoulli, Binomial, Geometric and negative Binomial. The Poisson, Hypergeometric and Multinomial Distributions; Relationships existing between some of the distributions, Proof of properties of the distributions Continuous Distributions: Uniform, Exponential, Normal, Gamma, Chi-Square and Beta Distributions; Use of the Normal Distribution Table, Normal Approximation to Binomial and Poisson Distributions; Proof of properties of the distributions Joint Probabilty Distributions: Definitions and properties of the distributions, Marginal and Conditional Distributions, Independent Random Variables, Covariance and Correlation Coefficient of Random Variables; Distribution of Linear Combination of Random Variables. Transformation of Random Variables and their Probability Distributions; Moment Generating Functions of Bivariate Random Variables.
- Credits
- 2
- Level
- Year Three
- Semester
- Semester One
Other courses on this programme
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- COE 382 — Digital Computer Design
- EE 371 — Linear Electronic Circuits
- EE 387 — Classical Control Systems
- MATH 351 — Numerical Methods
- CE 155 — Environmental Studies
- COE 158 — Introduction to Information Technology (IT)
- COE 251 — C Programming
- COE 475 — Computer Networking
- CSM 157 — Accounts I
- CSM 158 — Accounts II
- ECON 151 — Introductory Economics I
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