Random Variables, Expectation and Variance
Chance is described with numbers: the number of heads in ten tosses, the number of probes in a hash table, the waiting time until a server responds.
Engineering Mathematics · topic
Random variables and distributions
Discrete and continuous random variables, PMF, PDF and CDF, expectation, variance, linearity of expectation and indicators, covariance; uniform, binomial, Poisson, exponential and normal distributions with mean, variance, memorylessness and standardization.
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Discrete Distributions: Uniform, Binomial and Poisson
These distributions model the standard counting situations: picking uniformly from a finite set, counting successes in repeated independent trials, waiting for the first success, and counting rare events in a fixed interval.
Continuous Distributions: Uniform, Exponential and Normal
Continuous random variables describe measurements: a random point on an interval, the lifetime of a component, the time between requests, or exam marks spread around an average. Three continuous distributions cover the GATE syllabus.
Random variables and distributions cheat sheets
One-page visual sheets for this topic, in the sheet library on the store. Previews are free; the full sheets come with the subject pack.