MAT 211 Lecture Notes - Lecture 18: Sample Space, Probability Distribution
Document Summary
Event: a subset of the sample space that satis es certain criteria. Experiment: flip a coin 3 times and observe the side facing up. Sample space: {hhh, thh, hth, hht, tth, tht, htt, ttt} Experiment: two dice are rolled and observe the numbers uppermost. Sample space: {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26} Event: the sum of the upper most numbers is 4. What is the likelihood that head comes up. Find the relative frequency of heads on estimated probability. If n is big the relative frequency (estimated probability) approaches 1/2. The event e occurs fr(e) times, then the estimated probability or relative frequency is Outcomes: 1, 1, 1, 3, 4, 5, 6, 3, 5, 1} Probability distribution sum of the probabilities = 1. Ex: find x: s = {a, b, c, d, e} Sum of the probabilities of probability distribution is 1.
