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# The storm runoff X (in cubic meters pcr sccond, m3/s)from subdivision can bc modclcd by random variablc with thc following probability density function:f(x)=c(x- );...

## Question

###### The storm runoff X (in cubic meters pcr sccond, m3/s)from subdivision can bc modclcd by random variablc with thc following probability density function:f(x)=c(x- );0<x<6Dctcrminc thc constant and skctch thc pdf: Sketch the cdf cumulativc distribution function") Thc runoff is carricd by pipelinc with capacity of 4 m3/s Ovcrflow occurs whcn thc runoff excccds pipelinc capacity. What is thc probability of overflow? If ovcrflow occurs aftcr storm what is thc probability that thc runoff in

The storm runoff X (in cubic meters pcr sccond, m3/s)from subdivision can bc modclcd by random variablc with thc following probability density function: f(x)=c(x- );0<x<6 Dctcrminc thc constant and skctch thc pdf: Sketch the cdf cumulativc distribution function") Thc runoff is carricd by pipelinc with capacity of 4 m3/s Ovcrflow occurs whcn thc runoff excccds pipelinc capacity. What is thc probability of overflow? If ovcrflow occurs aftcr storm what is thc probability that thc runoff in thc storm is less than 5 m3/s An cnginccr considers replacing thc pipelinc by largcr one with capacity for Sm3/s Supposc there is probability of 60% that the rcplacement would be completcd prior to thc next storm: Calculatc thc probability of an ovcrflow during the next storm Calculatc thc Expccted Valuc and thc Variancc of X

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