(8) A continuous random variable T has p.d.f. defined as t f(t) = C. (2+1)² for t > 0 anf f(t) = 0 elsewhere. (a) Evaluate the constant C in the p.d.f. (b) Derive the c.d.f. for T

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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(8) A continuous random variable T has p.d.f. defined as
t
f(t) = C.- fort > 0 anf f(t) = 0 elsewhere.
*(t²+1)²
(a) Evaluate the constant C in the p.d.f.
(b) Derive the c.d.f. for T
Transcribed Image Text:(8) A continuous random variable T has p.d.f. defined as t f(t) = C.- fort > 0 anf f(t) = 0 elsewhere. *(t²+1)² (a) Evaluate the constant C in the p.d.f. (b) Derive the c.d.f. for T
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Pdf is f(t)=ct1+t2; t>0

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