Q.3 The probability density function for a continuous random variable X is (a + bx²; 0

Q.3 The probability density function for a continuous<br>random variable X is<br>(a + bx²; 0<x< 1,<br>fx(x) =<br>0;<br>e.w.<br>(i) Find constants a and b if E(X) = 0.6<br>(ii) Find cumulative distribution function (cdf), moment<br>generating function.<br>(iii) Using mgf, find B1 and ß2 and comment on it.<br>(iv) Sketch pdf and cdf.<br>

Extracted text: Q.3 The probability density function for a continuous random variable X is (a + bx²; 0<>< 1,="" fx(x)="0;" e.w.="" (i)="" find="" constants="" a="" and="" b="" if="" e(x)="0.6" (ii)="" find="" cumulative="" distribution="" function="" (cdf),="" moment="" generating="" function.="" (iii)="" using="" mgf,="" find="" b1="" and="" ß2="" and="" comment="" on="" it.="" (iv)="" sketch="" pdf="" and="">

Jun 01, 2022

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Q.3 The probability density function for a continuous random variable X is (a + bx²; 0

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