STAT211 Chapter Notes - Chapter 6: Probability Density Function, Probability Distribution, Random Variable
12 Apr 2016
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Continuous random variable can take infinite number of values, corresponding to all values in an interval o. Ex. take on any value in the interval (0,1) don"t have a countable number of values. Let y represent the amount of water in a randomly selected 500ml bottle of water (0, 500) Let z represent the tread wear on a new tire after 10,000 km (0, initial tread depth) A continuous random variable, x has f(x) representing the probability density function (pdf) of x. Probabilities are areas under a cure, and any constant a is just a point with an infinitesimally small area above it, so p(x=a) = 9. 1. f(x) represents the height of the curve at point x, not a probability. Curve cannot dip below the x axis o o: for continuous random variables, probabilities correspond to areas under the curve o.
