An article considered the use of a uniform distribution with A = 0.20 and B = 4.25 for the diameter X of a certain type of weld (mm). (a) Determine the pdf of X. (Round your answers to three decimal places.) f(x) = Graph the pdf of X. f(x) 0.5 0.4- 0.3 t 0.2 0.1 f(x) 0.5 0.4 0.3 0.2 0.1 10 0.20 < x < 4.25 otherwise 1 2 3 4 5 X 1 2 3 4 5 X f(x) 0.5 0.4 0.3 0.2 0.1 f(x) 0.5 0.4 0.3 0.2 0.1 X 1 2 3 4 5 X 1 2 3 4 5 (b) What is the probability that diameter exceeds 2 mm? (Round your answer to three decimal places.) (c) What is the probability that diameter is within 2 mm of the mean diameter? (Round your answer to three decimal places.) (d) For any value a satisfying 0.20 < a
An article considered the use of a uniform distribution with A = 0.20 and B = 4.25 for the diameter X of a certain type of weld (mm). (a) Determine the pdf of X. (Round your answers to three decimal places.) f(x) = Graph the pdf of X. f(x) 0.5 0.4- 0.3 t 0.2 0.1 f(x) 0.5 0.4 0.3 0.2 0.1 10 0.20 < x < 4.25 otherwise 1 2 3 4 5 X 1 2 3 4 5 X f(x) 0.5 0.4 0.3 0.2 0.1 f(x) 0.5 0.4 0.3 0.2 0.1 X 1 2 3 4 5 X 1 2 3 4 5 (b) What is the probability that diameter exceeds 2 mm? (Round your answer to three decimal places.) (c) What is the probability that diameter is within 2 mm of the mean diameter? (Round your answer to three decimal places.) (d) For any value a satisfying 0.20 < a
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Transcribed Image Text:An article considered the use of a uniform distribution with A = 0.20 and B = 4.25 for the diameter X of a certain type of weld (mm).
(a) Determine the pdf of X. (Round your answers to three decimal places.)
f(x) =
Graph the pdf of X.
f(x)
0.5
0.4-
0.3
t
0.2
0.1
f(x)
0.5
0.4
0.3
0.2
0.1
10
0.20 < x < 4.25
otherwise
1
2
3
4
5
X
1
2
3
4
5
X
f(x)
0.5
0.4
0.3
0.2
0.1
f(x)
0.5
0.4
0.3
0.2
0.1
X
1
2
3
4
5
X
1
2
3
4
5
(b) What is the probability that diameter exceeds 2 mm? (Round your answer to three decimal places.)
(c) What is the probability that diameter is within 2 mm of the mean diameter? (Round your answer to three decimal places.)
(d) For any value a satisfying 0.20 < a <a + 3 < 4.25, what is P(a < x < a + 3)? (Round your answer to three decimal places.)
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