Answered: The time X (min) for a lab assistant to…

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. 1 25 V

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...

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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.
1
25
<x s 35
f(x) =
10
otherwise
Sketch the corresponding density curve.
f(x)
f(x)
0.20-
0.20F
0.15
0.15
0.10
0.10
0.05
0.05
X
25
30
35
25
30
35
f(x)
f(x)
0.20|
0.20-
0.15
0.15
0.10
0.10
0.05
0.05
X
X
25
30
35
25
30
35
(b) What is the probability that preparation time exceeds 31 min?
(c) What is the probability that preparation time is within 3 min of the mean time? [Hint: Identify u from the graph of f(x).]
(d) For any a such that 25 < a < a + 3 < 35, what is the probability that preparation time is between a and a + 3 min?

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