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Faculty of Science Handbook, Academic Session 2025/2026
distributions: uniform, exponential, Assessment:
gamma, chi-square and normal. Continuous Assessment: 50%
Summative Assessment: 50%
Moment generating functions.
Distributions of functions of one random
variable. Independent random variables. SIT2001
Distributions of sum of independent PROBABILITY AND STATISTICS II
random variables. Functions related to
normal random variables. Central limit Distributions of two and more dimensional
theorem. Approximation for discrete random variables. Correlation coefficient.
distributions. Limiting moment generating Conditional distributions. Bivariate normal
functions. distribution. Transformation of two random
variables. Distributions of order statistics.
Assessment:
Continuous Assessment: 40% Biased and unbiased estimators. Method of
Summative Assessment: 60% moments. Method of maximum likelihood.
Confidence interval for: mean, proportion
SIT1002 and variance of single population;
STATISTICAL PROGRAMMING difference between two means, difference
between two proportions and ratio of
Introduction to the statistical programming variances.
software. Logical operations. Vector,
matrices and arrays. Sequence, decision Hypothesis testing for: mean, proportion
statement and loops. Writing functions. and variance of single population;
Data inputs. Data frames. Graphics. difference between two means, difference
Random number generation. Applications between two proportions and ratio of
to statistics. variances. Chi-square goodness-of-fit tests
and contingency tables.
Assessment:
Continuous Assessment: 70% Power of a statistical test. Best critical
Summative Assessment: 30% region. Likelihood ratio test. Chebyshev's
inequality. Convergence in probability and
SIT1003 distribution. Asymptotic distribution of
ANALYSIS OF DATA AND STATISTICAL maximum likelihood estimator. Rao-
REPORT WRITING Cramer's inequality.
Descriptive statistics. Hypothesis testing, Assessment:
confidence interval and tests of Continuous Assessment: 40%
independence. Regression and Correlation: Summative Assessment: 60%
continuous response data, simple and
multiple linear model. SIT2007
FOUNDATIONS OF DATA SCIENCE
Statistical tests: Goodness of fit tests,
ANOVA, Nonparametric test. Introduction to data science; Differences
between experimental and observational
Statistical Report Writing. data; Characteristics of big data sets;
Sources of biases in data sets; Introduction
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