[25 points) by the probability density function Let X be the amount of error, The amount of error when operating an indu
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[25 points) by the probability density function Let X be the amount of error, The amount of error when operating an indu
[25 points) by the probability density function Let X be the amount of error, The amount of error when operating an industrial machine can be modeled f(x) = **-1<x<1 1 dx=1 C a. Find the constant c. x į 3 SAXE s xdx = Ź ( 3 ) (13-(-1)²) = 1 .X - b. Construct the cumulative distribution function for the amount of error of this machine. 1 30 2 36 C- ༡[ ༡/ c. What is the probability that the amount of error is positive? d. What is the probability that the amount of error is at most 0.5? e. What is the expected amount of error?
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