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. f(x) = Sketch the corresponding density curve. f(x) 0.20 O 0.15 0.10 0.05 f(x) 0.20 0.15 0.10 0 0.05 25 25 30 30 SXS otherwise 35 35 X (b) What is the probability that preparation time exceeds 26 min? f(x) 0.20 O 0.15 0.10 0.05 f(x) 0.20 0.15 0.10 0.05 25 25 30 30 35 35
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. f(x) = Sketch the corresponding density curve. f(x) 0.20 O 0.15 0.10 0.05 f(x) 0.20 0.15 0.10 0 0.05 25 25 30 30 SXS otherwise 35 35 X (b) What is the probability that preparation time exceeds 26 min? f(x) 0.20 O 0.15 0.10 0.05 f(x) 0.20 0.15 0.10 0.05 25 25 30 30 35 35
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.
f(x) =
Sketch the corresponding density curve.
f(x)
0.20
0.15
0.10
0.05
O
f(x)
0.20
0.15
0.10
0
0.05
25
25
30
30
SXS
otherwise
35
35
(b) What is the probability that preparation time exceeds 26 min?
f(x)
0.20
O
0.15
0.10
0.05
f(x)
0.20
0.15
0.10
0.05
25
25
30
30
35
35
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