The lifetime T (in years) for a particular type of electric toothbrush is assumed to have theprobability density f given byt0 ≤ t ≤6f(t) ={+318otherwise. (c) What is the probability that the average lifespan of T for 90 independent toothbrushesis greater than 2.1 years?

Answered: The lifetime T (in years) for a…

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) = 3 18 0 ≤ t ≤6 otherwise.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Question

The lifetime T (in years) for a particular type of electric toothbrush is assumed to have the
probability density f given by
t
0 ≤ t ≤6
f(t) =
{+
3
18
otherwise.

(c) What is the probability that the average lifespan of T for 90 independent toothbrushes
is greater than 2.1 years?

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