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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. 2 SxS4 f(x 0. otherwise (a) Sketch the graph of f(x). f(x) f(x) 1.0아 1.0아 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 2.0 2.5 3.0 3.5 4.0 4.5 2.0 2.5 3.0 3.5 4.0 4.5 f(x) f(x) 1.0아 1.아 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 2.0 2.5 3.0 3.5 4.0 4.5 2.0 2.5 3.0 3.5 4.0 4.5 (b) Find the value of k. (c) What is the probability that the actual tracking weight is greater than the prescribed weight? 0.5 (d) What is the probability that the actual weight is within 0.2 g of the prescribed weight? (Round your answer to four decimal places.) 0.1495 (e) What is the probability that the actual weight differs from the prescribed weight by more than 0.35 g? (Round your answer to four decimal places.) 0.3706

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. 2 SxS4 f(x 0. otherwise (a) Sketch the graph of f(x). f(x) f(x) 1.0아 1.0아 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 2.0 2.5 3.0 3.5 4.0 4.5 2.0 2.5 3.0 3.5 4.0 4.5 f(x) f(x) 1.0아 1.아 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 2.0 2.5 3.0 3.5 4.0 4.5 2.0 2.5 3.0 3.5 4.0 4.5 (b) Find the value of k. (c) What is the probability that the actual tracking weight is greater than the prescribed weight? 0.5 (d) What is the probability that the actual weight is within 0.2 g of the prescribed weight? (Round your answer to four decimal places.) 0.1495 (e) What is the probability that the actual weight differs from the prescribed weight by more than 0.35 g? (Round your answer to four decimal places.) 0.3706

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
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Can you answer part A through C. 

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. - (x - 3)2 2sxS 4 2 <x < 4 1 - f(x) = otherwise (a) Sketch the graph of f(x). f(x) f(x) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0,2 0.2 X 2.0 2.5 3.0 3.5 4.0 4.5 2.0 2.5 3.0 3.5 4.0 4.5 f(x) f(x) 1.0 1.0 0.8 0,8 0.6 0.6 0.4 0.4 0.2 0.2 X 2.0 2.5 3.0 3.5 4.0 4.5 2.0 2.5 3.0 3.5 4.0 4.5 (b) Find the value of k. (c) What is the probability that the actual tracking weight is greater than the prescribed weight? 0.5 (d) What is the probability that the actual weight is within 0.2 g of the prescribed weight? (Round your answer to four decimal places.) 0.1495 (e) What is the probability that the actual weight differs from the prescribed weight by more than 0.35 g? (Round your answer to four decimal places.) 0.3706
Transcribed Image Text: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. - (x - 3)2 2sxS 4 2 <x < 4 1 - f(x) = otherwise (a) Sketch the graph of f(x). f(x) f(x) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0,2 0.2 X 2.0 2.5 3.0 3.5 4.0 4.5 2.0 2.5 3.0 3.5 4.0 4.5 f(x) f(x) 1.0 1.0 0.8 0,8 0.6 0.6 0.4 0.4 0.2 0.2 X 2.0 2.5 3.0 3.5 4.0 4.5 2.0 2.5 3.0 3.5 4.0 4.5 (b) Find the value of k. (c) What is the probability that the actual tracking weight is greater than the prescribed weight? 0.5 (d) What is the probability that the actual weight is within 0.2 g of the prescribed weight? (Round your answer to four decimal places.) 0.1495 (e) What is the probability that the actual weight differs from the prescribed weight by more than 0.35 g? (Round your answer to four decimal places.) 0.3706
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