(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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
icon
Related questions
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.
Transcribed Image Text: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.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer