The time to failure in hours of an important piece of electronic equipment used in a manufactured DVD player has the given density function. 1 -X exp x≥0, f(x) = 2400 2400 (a) Find F(x). 0, x<0 (b) Determine the probability that the component (and thus the DVD player) lasts more than 800 hours before the component needs to be replaced. (c) Determine the probability that the component fails before 2400 hours. (a) Find F(x). x≥0, F(x)= x<0 (b) Determine the probability that the component (and thus the DVD player) lasts more than 800 hours before the component needs to be replaced. (Round to four decimal places as needed.) (c) Determine the probability that the component fails before 2400 hours. (Round to four decimal places as needed.)

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
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
icon
Related questions
Question
The time to failure in hours of an important piece of electronic equipment used in a manufactured DVD player has the
given density function.
1
-X
exp
x≥0,
f(x) = 2400
2400
(a) Find F(x).
0, x<0
(b) Determine the probability that the component (and thus the DVD player) lasts more than 800 hours before the
component needs to be replaced.
(c) Determine the probability that the component fails before 2400 hours.
(a) Find F(x).
x≥0,
F(x)=
x<0
(b) Determine the probability that the component (and thus the DVD player) lasts more than 800 hours before the
component needs to be replaced.
(Round to four decimal places as needed.)
(c) Determine the probability that the component fails before 2400 hours.
(Round to four decimal places as needed.)
Transcribed Image Text:The time to failure in hours of an important piece of electronic equipment used in a manufactured DVD player has the given density function. 1 -X exp x≥0, f(x) = 2400 2400 (a) Find F(x). 0, x<0 (b) Determine the probability that the component (and thus the DVD player) lasts more than 800 hours before the component needs to be replaced. (c) Determine the probability that the component fails before 2400 hours. (a) Find F(x). x≥0, F(x)= x<0 (b) Determine the probability that the component (and thus the DVD player) lasts more than 800 hours before the component needs to be replaced. (Round to four decimal places as needed.) (c) Determine the probability that the component fails before 2400 hours. (Round to four decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 1 steps with 4 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning