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
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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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.
– 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8eaaea92-e247-4966-90e2-8af37fd7e5c3%2F0fa32b16-5b87-476f-99df-09c1c3b6a6a8%2Ft5w039n_processed.png&w=3840&q=75)
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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