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The lifetime T (this year) for a particular type of electric toothbrush is assumed to have the probability density f given by 1 t 3 18 0≤t≤6 f(t) 0 otherwise. a) Find the probability that a randomly selected toothbrush (of this type) has a lifespan of more than 2 years. b) Assume that a toothbrush of the same type has been working for one year already. What s the probability that it works for at least another 3 years?

The lifetime T (this year) for a particular type of electric toothbrush is assumed to have the probability density f given by 1 t 3 18 0≤t≤6 f(t) 0 otherwise. a) Find the probability that a randomly selected toothbrush (of this type) has a lifespan of more than 2 years. b) Assume that a toothbrush of the same type has been working for one year already. What s the probability that it works for at least another 3 years?

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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The lifetime T (this year) for a particular type of electric toothbrush is assumed to have the probability density f given by t f(t) 3 18 0 ≤ t ≤ 6 otherwise. 0 (a) Find the probability that a randomly selected toothbrush (of this type) has a lifespan of more than 2 years. (b) Assume that a toothbrush of the same type has been working for one year already. What is the probability that it works for at least another 3 years?
Transcribed Image Text:The lifetime T (this year) for a particular type of electric toothbrush is assumed to have the probability density f given by t f(t) 3 18 0 ≤ t ≤ 6 otherwise. 0 (a) Find the probability that a randomly selected toothbrush (of this type) has a lifespan of more than 2 years. (b) Assume that a toothbrush of the same type has been working for one year already. What is the probability that it works for at least another 3 years?
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