Section 2 · Lecture 06 · Binomial Distribution
For a discrete random variable, probability is the height of a bar. For a continuous random variable, probability is the area under a curve between two points, and never the height of the curve at a single point. Both are shown below.
Discrete / categorical
Probability mass function · pmf
Click one or more bars to add up their probabilities
Each bar’s height is a probability: Pr(Y = y) = p(y). Every bar lies between 0 and 1, and all the bars add up to 1. Try Select all bars.
Continuous
Probability density function · student height
Y = the height (cm) of a randomly selected student. The curve is a density curve for height.
Drag the handles to set the interval from a to b, or click one and use the arrow keys
Interval
Width, b − a
Area = probability