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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![**3.1-15.** The life \( X \) (in years) of a voltage regulator of a car has the probability density function (pdf)
\[
f(x) = \frac{3x^2}{7^3} e^{-(x/7)^3}, \quad 0 < x < \infty.
\]
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F868fb1de-998a-4af9-8cbd-8748df508a0c%2F8d4f2412-2d1a-4d0f-af9b-bb784bd7dc33%2Fap592t7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**3.1-15.** The life \( X \) (in years) of a voltage regulator of a car has the probability density function (pdf)
\[
f(x) = \frac{3x^2}{7^3} e^{-(x/7)^3}, \quad 0 < x < \infty.
\]
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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