MAT 211 Lecture Notes - Lecture 21: 5,6,7,8, Random Variable, Sample Space
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In many experiments a numerical value can be assigned to each outcome of the sample space. Random variable: that assigns a number to each outcome of the experiment (called random because it is associated with chances) Experiment: rolling two dice (observing the uppermost numbers) Random variable x = sum of the face values. X = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. Favorable case: (1, 6) (2, 5) (3, 4) (4, 3) (5, 2) (6, 1) P(x = 7): nd the probability when the random variable takes the value 7; that is the sum of the face values is 7. X: # of time 6 faces up/uppermost number is 6. Sample space = s n(s) = 6 x 6 x 6 x 6 x 6 = 6^5. X = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 (possible values for x) All the previous examples discussed in previous class were discrete random variables.
