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Probability Distributions: The probability distribution of a random variable gives its possible values and associated probabilities. The probability distribution can be displayed in a table or histogram. Example: APGAR Scores for newborns. 0 1 2 3 4 5 6 7 8 9 10 .001 .006 .007 .008 .012 .020 .038 .099 .319 .437 .053 Doctors have determined that an APGAR score from 7 to 10 indicates a healthy baby. What's the probability that a randomly selected baby is healthy? Expected Value: Found by multiplying each possible value of the variable by its probability and then summing over all possible outcomes. Example: APGAR Scores for newborns. 0 1 2 3 4 5 6 7 8 9 10 .001 .006 .007 .008 .012 .020 .038 .099 .319 .437 .053 1 Example: Roulette A roulette wheel contains 2 green slots, 18 red slots, and 18 black slots. If a player bets $1 on Red what is the expected outcome? 2