MATH 141 Lecture 13: Statistics 10/27/2016
28 Oct 2016
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A random variable assumes values within intervals, i. e. all values inside the interval can be assumed. Most commonly used measurements can be recognized as continuous random variable, such as: weight, height, area, time. Again, use capital letters, such as x, y, z, to name a random variable. We can express the possible values of the random variable as following: Age of college students: x in [18, 30: temperature of a classroom: t in [60 degrees, 90 degrees] In calculus, we know a function or equation can describe the relationship between outcomes and values of variable. The value of variable is all possible candidates for your random variable; and the outcome is the probability of each candidate. A density function is a formula to describe the chance of each possible choice of a continuous random variable in the intervals. Properties: f(x) 0, the total area between the curve f(x) and x-axis is 1.
