Question: Suppose random variable X has the following probability density function:f(x)=3x227 for 0x3 and 0 elsewhere. [10] a. Find F(x)=P(xx), the commative diatrilution fanction for x

Suppose random variable X has the following probability density function:f(x)=3x227 for 0x3 and 0 elsewhere. [10] a. Find F(x)=P(xx), the commative diatrilution fanction for x Werk f(x)=P(xx)=-xf(t)dtx<0:F(x)=0,x<00x3:F(x)=-yf(t)dt=0xy227dt=327[t33]0x=327*x3-03=x327,0x3x>3:F(x)=-yf(t)dt=0x3i27dt=227[t33]03=227*33-03=2727=1,x>3[10] b. Find P(x1.5|x0.5).Werk

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