the probability distribution of the random variable x is given by f(x)=c/ √x for 0<x<4, 0 elsewherea、cdf :F(X)=∫f(x)dx= 2c√x由題 F(4)-F(0)= 4c -0=1c=1/4 b、p(x<1/4) and P(x>1)f(x)=1/(4√x) for 0<x<4, 0 elsewhereF(x)=(1/2) √xP(x<1/4)=F(1/4)-F(0)=1/4-0=1/4P(x>1)=1-P(x<=1)=1-F(1)=1-(1/2-0)=1/2
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the probability distribution of the random variable x is given by f(x)=c/ √x for 0<x<4, 0 elsewherea、cdf :F(X)=∫f(x)dx= 2c√x由題 F(4)-F(0)= 4c -0=1c=1/4 b、p(x<1/4) and P(x>1)f(x)=1/(4√x) for 0<x<4, 0 elsewhereF(x)=(1/2) √xP(x<1/4)=F(1/4)-F(0)=1/4-0=1/4P(x>1)=1-P(x<=1)=1-F(1)=1-(1/2-0)=1/2