Defects can occur anywhere on the wheel of a car during the manufacturing proces

Question

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 63 degrees? b) What is the probability that the defect is found between 0 and 108 degrees or between 252 and 360 degrees? a) The probability is (Round to three decimal places as needed.) b) The probability is Round to three decimal places as needed.)

Explanation / Answer

a=0 and b=360

a) P(0<x<63)=(63-0)/(360-0)=0.175

b) P(0<x<108)+P(252<x<360)=((108-0)+(360-252))/(360-0)=0.6

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