Suppose another variable X is continuous and its pdf is: f(x)=x3+x2x+0.75 0 lt; x lt;1 a. For this question, you may take our word that f(x) is...

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8. Suppose another variable X is continuous and its pdf is: f(x)=x3+x2—§x+0.75 0 < x <1 a. For this question, you may take our word that f(x) is greater than orequal to zero for all values of x in the domain. Prove the other condition that will make this a legitimate pdf.b. Find P(X < 1). c. Find P(X > 0.5).