3.1-15. The life X (in years) of a voltage regulator of a car has the pdf f(x) = 3x² 73 e-(2/7)3 0 < x <∞. a. What is the probability that this regulator will last at least seven years? b. Given that it has lasted at least seven years, what is the conditional probability

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 9E
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3.1-15. The life X (in years) of a voltage regulator of a car has the pdf
f(x)
=
3x²
73
2-(2/7)³
0 < x <∞.
a. What is the probability that this regulator will last at least seven years?
b. Given that it has lasted at least seven years, what is the conditional probability
that it will last at least another 3.5 years?
Transcribed Image Text:3.1-15. The life X (in years) of a voltage regulator of a car has the pdf f(x) = 3x² 73 2-(2/7)³ 0 < x <∞. a. What is the probability that this regulator will last at least seven years? b. Given that it has lasted at least seven years, what is the conditional probability that it will last at least another 3.5 years?
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