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.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 29CR
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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.)
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