The time X (min) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform distribution with A = 25 and B- 35. (a) Determine the pdf of X. 0.1 25 v SxS 35 X) - otherwise Sketch the corresponding density curve. 020 020 015 0.15 0.10 0.10 25 25 0.20 0.20 0.15 a.10 a.10 25 30 35 25 30 (b) What is the probability that preparation time exceeds 29 min? (c) What is the probability that preparation time is within 2 min of the mean time? [Hint: Identify a from the graph of f(x).] (d) For any a such that 25
The time X (min) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform distribution with A = 25 and B- 35. (a) Determine the pdf of X. 0.1 25 v SxS 35 X) - otherwise Sketch the corresponding density curve. 020 020 015 0.15 0.10 0.10 25 25 0.20 0.20 0.15 a.10 a.10 25 30 35 25 30 (b) What is the probability that preparation time exceeds 29 min? (c) What is the probability that preparation time is within 2 min of the mean time? [Hint: Identify a from the graph of f(x).] (d) For any a such that 25
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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![The time X (min) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform distribution with A = 25 and B = 35.
(a) Determine the pdf of X.
0.1
25
V <x < 35
f(x) =
otherwise
Sketch the corresponding density curve.
f(x)
f(x)
0.20-
0.20
0.15
0.15
0.10
0.10
0.05
0.05
X
30
35
25
30
f(x)
f(x)
0.20-
0.20
0.15
0.15
0.10
0.10
0.05
0.05
25
30
35
25
30
35
(b) What is the probability that preparation time exceeds 29 min?
(c) What is the probability that preparation time is within 2 min of the mean time? [Hint: Identify u from the graph of f(x).]
(d) For any a such that 25 < a < a + 2 < 35, what is the probability that preparation time is between a and a + 2 min?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94b64eaa-977b-4822-b8ab-e1a6b947c2d1%2F8b799b61-f354-419e-a3eb-0dc4f2e015fc%2Fliwhzy4j_processed.png&w=3840&q=75)
Transcribed Image Text:The time X (min) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform distribution with A = 25 and B = 35.
(a) Determine the pdf of X.
0.1
25
V <x < 35
f(x) =
otherwise
Sketch the corresponding density curve.
f(x)
f(x)
0.20-
0.20
0.15
0.15
0.10
0.10
0.05
0.05
X
30
35
25
30
f(x)
f(x)
0.20-
0.20
0.15
0.15
0.10
0.10
0.05
0.05
25
30
35
25
30
35
(b) What is the probability that preparation time exceeds 29 min?
(c) What is the probability that preparation time is within 2 min of the mean time? [Hint: Identify u from the graph of f(x).]
(d) For any a such that 25 < a < a + 2 < 35, what is the probability that preparation time is between a and a + 2 min?
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