BUS 082 Lecture Notes - Lecture 15: Probability Density Function, Standard Score, Normal Distribution
Document Summary
Continuous random variable assumes any value on a continuum. E. g. height, weight, volume of an item, time between events etc. Can take on any value depending on the ability to accurately and finely measure it. Represents the relative likelihood of each x value. Area of shaded region = probability x is in that region. Spread is given by the standard deviation. Changing the mean shifts the distribution left or right. The normal distribution is exactly bell shaped. Any normal distribution can be transformed into the standardised normal. The standardised normal aka z distribution distribution (z score) Draw the normal curve in terms of x. Cumulative standardised normal table gives probability less than a value of z. The continuous uniform distribution has equal density for all possible outcomes of the random variable. F(x) = 1/b-a = value of the density function at a x value. A = minimum b = maximum value of x.