Random Variables

Learners will explore random variables, which assign numerical values to outcomes of random processes. This topic covers discrete and continuous random variables, expected values, and variance.

Learning Outcomes:
The learner should be able to

• Define and differentiates discrete and continuous random variables.
• Understand probability mass functions and density functions.
• Perform different experiments with coins, pair of die and record the outcomes.
• Calculate expected values and variances of random variables.
• Discuss how to compute and tabulate probability distribution corresponding to a given random event and make presentations.
• Describe a discrete random variable and explain the properties of its probability mass function (p.m.f).
• Determine probabilities, measures of central location and dispersion and sketch the p. m. f of a discrete random variable.
• Plot and investigate the probability of these discrete random variables and their cumulative probabilities.
• Describe a continuous random variable and explain the properties of its probability density function (p.d.f).
• Determine probabilities, measures of central location and dispersion and sketch the p.d.f and cumulative distribution function of a continuous random variable.
• Analyse the concepts of a probability density function of a continuous random variable to solve applied problems.