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"Random Variable" is a mathematical representation of a random process. Analogous to a circle or a triangle geometry
Random variables assign numbers and probabilities to outcomes of random processes; examples:
Random Variables can be Continuous
think of X as the midpoint of a range, and p(X) as the probability that the random variable will fall within that range
Random Variable Represented as a Histogram
Random Variable and Gambling
A lottery that costs $1, has 10,000 entrants, a grand prize of $5000 and four smaller prizes of $100 each
Many mathematical models of random variables (many shapes in geometry)
Two used in this course: binomial; normal (bell curve)
Two others mentioned briefly: geometric; uniform (rectangular)
Random variables are mathematical representations of random processes.
We assign a number to each outcome and associate a probability with that number.