1.A machine produces copper wire, and occasionally there is a flaw at some point along the wire. The length of wire produced between successive flaws is a continuous random variable X with pdf of the c(1+x)³,x> 0 form f(x) =- a) Find the constant c? b) Find the cumulative distribution function of X? c) Find P(0.40< X<0.45)?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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1.A machine produces copper wire, and occasionally there is a flaw at some point along the wire. The
length of wire produced between successive flaws is a continuous random variable X with pdf of the
(c(1+x)³,x>0
,X <0'
-3
form f(x) =
a) Find the constant c?
b) Find the cumulative distribution function of X?
c) Find P(0.40<X < 0.45)?
Transcribed Image Text:1.A machine produces copper wire, and occasionally there is a flaw at some point along the wire. The length of wire produced between successive flaws is a continuous random variable X with pdf of the (c(1+x)³,x>0 ,X <0' -3 form f(x) = a) Find the constant c? b) Find the cumulative distribution function of X? c) Find P(0.40<X < 0.45)?
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