STAT 1000Q Lecture Notes - Lecture 12: Probability Distribution, Frequentist Probability, Random Variable
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Stat 1000q lecture 12 - continuous random variables. Discrete random variables use speci c, exact values (counting numbers). There are probabilities for each distinct value, but not for anything in between values. Continuous random variables are usually measurements; these are continuous numerical values. There can be an in nite number of values. There is no such thing as a point . The probability of a randomly selected runner nishing in the interval 2700 seconds is 0. 21. The total area of the bars must be 1: as the sample size increases and width of the bars decreases, the histogram will begin to look like a smooth graph. Properties: probability density graphs and continuous random variables. Crv can only have positive values (above x-axis) Probability of random variable having a value between a and b = area of graph between a and b. Taller graph above a point = greater density, concentration of probability.