Probability in R. Discrete Random Variables

Description

In this course, you will learn :

• draw random numbers in R.
• use descriptive statistics in R.
• use boolean variables in R.
• define and use Bernoulli random variable.
• define and derive probability of binomial distribution.
• define and assign values to vectors.
• use histogram in R.
• use combinations in set theory.
• define and assign values to matrices in R.
• draw plots in R.
• use for and while loops in R.
• use logical conditions in R.
• sum geometric series.
• define and derive probability of geometric distribution.
• predict numerical limitations of computers and R.
• define functions in R.
• define infinite series of events.
• specify conditions for series convergence.
• use independence of events.
• use properties of complementary events.
• use squeeze theorem.
• hold the loop execution and print results in R.
• define and prove Borel-Cantelli lemma.

Syllabus :

• Bernoulli random variable
• Binomial distribution
• Geometric distribution
• Borel-Cantelli lemma