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 (a) Sketch the graph of f(x). (b) Find the value of k. (c) What is the probability that the actual tracking weight is greater than the prescribed weight? (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.) (e) What is the probability that the actual weight differs from the prescribed weight by more than 0.4 g
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 (a) Sketch the graph of f(x). (b) Find the value of k. (c) What is the probability that the actual tracking weight is greater than the prescribed weight? (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.) (e) What is the probability that the actual weight differs from the prescribed weight by more than 0.4 g
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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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
f(x) =
| k
|
2 ≤ x ≤ 4 | |||
| 0 | otherwise |
(a) Sketch the graph of f(x).
(b) Find the value of k.
(c) What is the probability that the actual tracking weight is greater than the prescribed weight?
(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.)
(e) What is the probability that the actual weight differs from the prescribed weight by more than 0.4 g? (Round your answer to four decimal places.)
(c) What is the probability that the actual tracking weight is greater than the prescribed weight?
(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.)
(e) What is the probability that the actual weight differs from the prescribed weight by more than 0.4 g? (Round your answer to four decimal places.)
(I only need help with part b through e)
Transcribed Image Text:(b) Find the value of k.
(c) What is the probability that the actual tracking weight is greater than the prescribed weight?
(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.)
(e) What is the probability that the actual weight differs from the prescribed weight by more than 0.4 g? (Round your answer to four decimal places.)
![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.
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2 < x5 4
f(x) =
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(a) Sketch the graph of f(x).
f(x)
f(x)
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0.6
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4.5
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f(x)
f(x)
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0.8
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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.
– 3)2]
— (х —
2 < x5 4
f(x) =
otherwise
(a) Sketch the graph of f(x).
f(x)
f(x)
1.0F
1.0
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)
1.0
1.0
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
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