(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?

(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?

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

(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?

The lifetime T (in years) for a particular type of electric toothbrush is assumed to have the
probability density f given by
t
f(t) =
0 ≤ t ≤6
-G
18
otherwise.

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