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i) What is the probability that a consumer will need to pay for signit mechanical repairs less than 18 years after the car is purchased? (i.e. less than 8 years after the warranty period expires) nei tasu ii) It can be shown from the above sef equation that the expected time until the consumer would need to pay for significant mechanical repairs is E(T) ≈ 13.86. Use this information to determine the variance Var (I) of the variable T. dibited.

i) What is the probability that a consumer will need to pay for signit mechanical repairs less than 18 years after the car is purchased? (i.e. less than 8 years after the warranty period expires) nei tasu ii) It can be shown from the above sef equation that the expected time until the consumer would need to pay for significant mechanical repairs is E(T) ≈ 13.86. Use this information to determine the variance Var (I) of the variable T. dibited.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 1 (b) A certain car make and model is under warranty for the first 10 years after being purchased, so will only potentially require the consumer to pay for significant mechanical repairs after this 10-year period. Hence the number of years I, after being purchased until this car requires the consumer to pay for significant mechanical repairs is distributed according to the following probability density function (pdf): idt f(t) = t 0, > 10<t <20 otherwise tuom i) What is the probability that a consumer will need to pay for significant mechanical repairs less than 18 years after the car is purchased? (i.e. less than 8 years after the warranty period expires) 0 for significant ii) It can be shown from the above sex equation that the expected time until the consumer would need to pay mechanical repairs is E(T) ≈ 13.86. Use this information to determine the variance Var (I) of the variable T. pa.o-t 440 4 O P4400 X 8900 do
Transcribed Image Text:Question 1 (b) A certain car make and model is under warranty for the first 10 years after being purchased, so will only potentially require the consumer to pay for significant mechanical repairs after this 10-year period. Hence the number of years I, after being purchased until this car requires the consumer to pay for significant mechanical repairs is distributed according to the following probability density function (pdf): idt f(t) = t 0, > 10<t <20 otherwise tuom i) What is the probability that a consumer will need to pay for significant mechanical repairs less than 18 years after the car is purchased? (i.e. less than 8 years after the warranty period expires) 0 for significant ii) It can be shown from the above sex equation that the expected time until the consumer would need to pay mechanical repairs is E(T) ≈ 13.86. Use this information to determine the variance Var (I) of the variable T. pa.o-t 440 4 O P4400 X 8900 do
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for part 2) why are the limits on the integral 10 as the lower bound and 20 as the upper bound? does it not stay as 10 and 18?

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