A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Question
Car tyres come in many different brands. Even on a car, the tyres can wear out after travelling different distances, due to cornering, braking and wheel alignment. Manufacturers of car tyres are interested in the average distance in kilometres travelled by tyres, or the lifetime of tyres until they are considered un-usable and need to be replaced. At this time a tyre is considered un roadworthy.
The lifetime Tin thousands of km of brand E of car tyres, satisfies a probability density
function given by
е.
at?
0St< 50
f (t) = { b(100-t) 50<t<100
elsewhere
3
a =
312,500 and
3
b =
6,250
i.
Show that
ii.
For 36 tyres of brand E, find the expected number that will last longer than 40,000
km.
expand button
Transcribed Image Text:The lifetime Tin thousands of km of brand E of car tyres, satisfies a probability density function given by е. at? 0St< 50 f (t) = { b(100-t) 50<t<100 elsewhere 3 a = 312,500 and 3 b = 6,250 i. Show that ii. For 36 tyres of brand E, find the expected number that will last longer than 40,000 km.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Probability
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON
Text book image
A First Course in Probability
Probability
ISBN:9780321794772
Author:Sheldon Ross
Publisher:PEARSON