Introduction to Probability and Statistical Inference, 5 cr

Rules and axioms of probability theory,
the probability distribution of a discrete and continuous random variable,
density and cumulative distribution function,
expected value, variance, and standard deviation,
uniform distributions, Bernoulli, binomial, and Poisson distributions,
normal distribution, t-, F- and chi^2 distributions,
joint probability distribution, covariance, correlation,
random sample, sample statistic, and distribution of the statistic,
point and confidence interval estimation,
principles of hypotheses testing,
estimation and testing under Bernoulli and normal distributions.