29)The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with the following pdf. f(x)=k(1-(x-3)²) , 2≤x≤4 0 otherwise (c) What is the probability that the actual tracking weight is greater than the prescribed weight? P= 0.5 (d) What is the probability that the actual weight is within 0.1 g of the prescribed weight? (Round your answer to four decimal places.) P= 0.1495 (e) What is the probability that the actual weight differs from the prescribed weight by more than 0.45 g? (Round your answer to four decimal places.) P=0.3706

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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29)The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with the following pdf.
f(x)=k(1-(x-3)²) , 2≤x≤4
0 otherwise

(c) What is the probability that the actual tracking weight is greater than the prescribed weight?
P= 0.5

(d) What is the probability that the actual weight is within 0.1 g of the prescribed weight? (Round your answer to four decimal places.)
P= 0.1495

(e) What is the probability that the actual weight differs from the prescribed weight by more than 0.45 g? (Round your answer to four decimal places.)
P=0.3706

 

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