Probability Tips

• Discrete random variables are things we count
• A discrete variable is a variable which can only take a countable number of values
• Probability mass function (pmf) is a function that gives the probability that a discrete random variable is exactly equal to some value.
• Continuous random variables are things we measure
• A continuous random variable is a random variable where the data can take infinitely many values.
• Probability density function (PDF), or density of a continuous random variable, is a function that describes the relative likelihood for this random variable to take on a given value
• Bernoulli process is a finite or infinite sequence of binary random variables
• Markov Chain - stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event

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