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 form f(x) = { S(1 +x)°,x>0 a) Find the constant e? b) Find the cumulative distribution function of X? c) Find P(0.40s X s 0.45)?

A First Course in Probability (10th Edition)
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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
Sol + x)*,x>0
form f(x) = {
a) Find the constant c?
b) Find the cumulative distribution function of X?
c) Find P(0.40s 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 Sol + x)*,x>0 form f(x) = { a) Find the constant c? b) Find the cumulative distribution function of X? c) Find P(0.40s X< 0.45)?
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