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.
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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