# Singapore University of Social Sciences

## Fundamentals of Statistics and Probability (MTH219)

### Synopsis

Students are exposed to the essential and important concepts of Statistics and Probability for data analysis. Illustrative examples in various discipline will be discussed. Emphasis will be on understanding data variability and uncertainty; cultivating statistical thinking and applying statistical techniques to solve real-life practical problems. Descriptive statistics and useful probability models will be introduced.

Level: 2
Credit Units: 5
Presentation Pattern: Every semester

### Topics

• Exploring data.
• Summary statistics.
• Interpreting and analysing data.
• Descriptive statistics, measures of location and dispersion.
• Modelling variation.
• Expectation and variance of random variables.
• Probability models.
• Bernoulli trials, binomial, geometric and uniform distributions.
• Poisson approximation for rare events and exponential models.
• Normal distribution.
• Functions of random variables.

### Learning Outcome

• Calculate expectation, variance and/or median of random variables.
• Show the dependence/independence of events.
• Comment on results obtained by direct calculation of probability of events versus those obtained by Normal/Poisson approximation.
• Compute probabilities of events.
• Apply probability models in practical settings.
• Determine statistical information of a given data set.