Statement Q1. The lifetime, in years, of a certain type of fuel cell is a randomvariable with probability density function k X>0 f(x) = { (x+ 3)* x<0 Using i. Detemine the value kso that f(x) becomes a pdf. ii. Using cumulative distribution function (CDF) method finds the probability that a fuel cell lasts more than 5 years? Find the coefficient of variation of x+3 РX>20 | X<40). iii. iv.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Statement
Q1. The lifetime, in years, of a certain type of fuel cell is a randomvariable with probability
density function
k
X>0
f(x) = { (x+ 3)*
x<0
Using
i.
Detemine the value kso that f(x) becomes a pdf.
ii.
Using cumulative distribution function (CDF) method finds the probability
that a fuel cell lasts more than 5 years?
iii.
Find the coefficient of variation of x+3
iv.
РX>20 |X<40).
Transcribed Image Text:Statement Q1. The lifetime, in years, of a certain type of fuel cell is a randomvariable with probability density function k X>0 f(x) = { (x+ 3)* x<0 Using i. Detemine the value kso that f(x) becomes a pdf. ii. Using cumulative distribution function (CDF) method finds the probability that a fuel cell lasts more than 5 years? iii. Find the coefficient of variation of x+3 iv. РX>20 |X<40).
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