Defects can occur anywhere on the wheel of a car during the manufacturing process. If X is the angle where the defect occurs, measured from a reference line, then X can be modeled as a uniform random variable on the interval from 0 to 360 degrees. a) What is the probability that the defect is found between 0 and 108 degrees? b) What is the probability that the defect is found between 0 and 90 degrees or between 270 and 360 degrees? a) The probability is. (Round to three decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Defects can occur anywhere on the wheel of a car during the manufacturing process. If X is the angle where
the defect occurs, measured from a reference line, then X can be modeled as a uniform random variable on
the interval from 0 to 360 degrees.
a) What is the probability that the defect is found between 0 and 108 degrees?
b) What is the probability that the defect is found between 0 and 90 degrees or between 270 and 360
degrees?
a) The probability is
(Round to three decimal places as needed.)
Transcribed Image Text:Defects can occur anywhere on the wheel of a car during the manufacturing process. If X is the angle where the defect occurs, measured from a reference line, then X can be modeled as a uniform random variable on the interval from 0 to 360 degrees. a) What is the probability that the defect is found between 0 and 108 degrees? b) What is the probability that the defect is found between 0 and 90 degrees or between 270 and 360 degrees? a) The probability is (Round to three decimal places as needed.)
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