Please solve a, b, c, d, and e. (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 0.3 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.90x) = {4/1-0- (x − 3)²]f(x)0(a) Sketch the graph of f(x).f(x)1.00.80.60.40.2f(x)1.00.80.60.42.00.22 ≤ x ≤ 4otherwise2.0(b) Find the value of k.2.53.02.53.5 4.0 4.53.03.5Xf(x)1.00.8hh0.60.40.24.54.0f(x)1.00.80.60.40.22.02.52.02.53.0(c) What is the probability that the actual tracking weight is greater than the prescribed weight?3.53.04.03.54.54.0L4.5XX(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.)

Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Answered: Please solve a, b, c, d, and e.

Math

Probability

Please solve a, b, c, d, and e.

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.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 8CR

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Question

Please solve a, b, c, d, and e.

(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 0.3 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.
90x) = {4/1-0
- (x − 3)²]
f(x)
0
(a) Sketch the graph of f(x).
f(x)
1.0
0.8
0.6
0.4
0.2
f(x)
1.0
0.8
0.6
0.4
2.0
0.2
2 ≤ x ≤ 4
otherwise
2.0
(b) Find the value of k.
2.5
3.0
2.5
3.5 4.0 4.5
3.0
3.5
X
f(x)
1.0
0.8
hh
0.6
0.4
0.2
4.5
4.0
f(x)
1.0
0.8
0.6
0.4
0.2
2.0
2.5
2.0
2.5
3.0
(c) What is the probability that the actual tracking weight is greater than the prescribed weight?
3.5
3.0
4.0
3.5
4.5
4.0
L
4.5
X
X
(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.)

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