Exercises: Develop an Empirical Probability Distribution and Find Its Expected Value

Work through each section in order. To turn a frequency table into a probability distribution, estimate each probability as a RELATIVE FREQUENCY: count divided by total (or percent divided by 100). Every probability must be between 0 and 1, and they should sum to about 1. Compute the expected value as $E(X) = \sum x \cdot P(X = x)$, and scale to a population total with $n \cdot E(X)$. State any modeling choice you make for an open-ended category. Round as directed.