MATH 1060 Lecture 10: Probability and Random Variables
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Two events a and b are independent if p(a|b) = p(a) or p(a|b) = p(b) Random variable; a variable whose value is the result of carrying out some type of random experiment. Notations; we sue the upper case letters towards the end of the alphabet, x, y, z to denote random variable, or rv. Any random variable is a rule that is defined on a sample space of random experiment. Discrete random variables; random variables which take only a finite (or countably infinite) number of outcomes. Continuous random variables; random variables which can take any numeric value in a continuous interval. Ex #1; the number of heads when we toss a fair coin three times. Ex #2; the temperature in halifax at noon during january. Every model has a probability density function (pdf) . This function satisfies: none negative f^n, the area under it and above x is 1.
