Example 3.3. Plastic covers for CDs. Measurements for the length and width of a rectangular plastic covers for CDs are rounded to the nearest mm. Let X denote the length and Y denote the width. The possible values of X are 129, 130, and 131 mm. The possible values of Y are 15 and 16 mm. There are 6 possible pairs (X, Y). The probability for each pair is shown in the table below. X=129 X=130 X=131 Y=15 0.12 0.42 0.06 Y=16 0.08 0.28 0.04 1. Show the conditional conditional distribution of Y given that X = r. 2. Solve for P(X = 30 | Y = 15).
Example 3.3. Plastic covers for CDs. Measurements for the length and width of a rectangular plastic covers for CDs are rounded to the nearest mm. Let X denote the length and Y denote the width. The possible values of X are 129, 130, and 131 mm. The possible values of Y are 15 and 16 mm. There are 6 possible pairs (X, Y). The probability for each pair is shown in the table below. X=129 X=130 X=131 Y=15 0.12 0.42 0.06 Y=16 0.08 0.28 0.04 1. Show the conditional conditional distribution of Y given that X = r. 2. Solve for P(X = 30 | Y = 15).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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