Measurements for the length and width of a rectangular plastic covers for CDs are rounded to the nearest mm (so they are discrete). 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. The joint distribution is given by the following table: X=length 129 130 131 Y=width 15 0.12 0.42 0.06 16 0.08 0.28 0.04 The probability that a CD cover has width of 16 mm knowing that it has a length of 131

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Chapter1: Combinatorial Analysis
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Measurements for the length and width of a rectangular plastic covers for CDs are
rounded to the nearest mm (so they are discrete). Let Xx 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. The joint distribution is given by the following table:
X=length
129 130 131
Y=width 15 0.12 0.42 0.06
16 0.08 0.28 0.04
The probability that a CD cover has width of 16 mm knowing that it has a length of 131
mm is:
Transcribed Image Text:Measurements for the length and width of a rectangular plastic covers for CDs are rounded to the nearest mm (so they are discrete). Let Xx 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. The joint distribution is given by the following table: X=length 129 130 131 Y=width 15 0.12 0.42 0.06 16 0.08 0.28 0.04 The probability that a CD cover has width of 16 mm knowing that it has a length of 131 mm is:
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