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

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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.
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
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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