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
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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Hi i am having a difficult time with this problem and the parts that come along with it, Can you please do this problem step by step and can you label the parts as well.
![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?](/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 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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