2. Let X represents the lifetime of water turbine in years. The lifetime of the turbine is a random variable with the following pdf f(x) = ke-0.5x, x>0 a. Find k. b. Find the probability that the turbine will be operational for 2 years. c. Find the probability that the turbine will break down after 8 months.
2. Let X represents the lifetime of water turbine in years. The lifetime of the turbine is a random variable with the following pdf f(x) = ke-0.5x, x>0 a. Find k. b. Find the probability that the turbine will be operational for 2 years. c. Find the probability that the turbine will break down after 8 months.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 5E
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![2. Let X represents the lifetime of water turbine in years. The lifetime of the turbine is a random variable with
the following pdf
f(x) = ke-0.5x, X>0
a. Find k.
b. Find the probability that the turbine will be operational for 2 years.
c. Find the probability that the turbine will break down after 8 months.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8ba04fc-1570-45e0-8a29-d848c02c3c3e%2F559057f2-9971-4efa-b215-1fcff0008b01%2Fntzgi7p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let X represents the lifetime of water turbine in years. The lifetime of the turbine is a random variable with
the following pdf
f(x) = ke-0.5x, X>0
a. Find k.
b. Find the probability that the turbine will be operational for 2 years.
c. Find the probability that the turbine will break down after 8 months.
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