EX#2: Let the continuous random variable X denote the diameter of a hole drilled in a sheet metal. The target diameter is 12.5 millimeters. Most random disturbances to the process result in larger diameters. Historical data show that the distribution of X can be modeled by a probability density function f (x) = 20e¬20(x-12.5), for x > 12.5. Find the cumulative distribution of X.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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EX#2: Let the continuous random variable X denote the diameter of a hole drilled in a sheet metal. The target diameter is
12.5 millimeters. Most random disturbances to the process result in larger diameters. Historical data show that the
distribution of X can be modeled by a probability density function f (x) = 20e¬20(x-12.5), for x > 12.5.
Find the cumulative distribution of X.
Transcribed Image Text:EX#2: Let the continuous random variable X denote the diameter of a hole drilled in a sheet metal. The target diameter is 12.5 millimeters. Most random disturbances to the process result in larger diameters. Historical data show that the distribution of X can be modeled by a probability density function f (x) = 20e¬20(x-12.5), for x > 12.5. Find the cumulative distribution of X.
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