Q.3 The probability density function for a continuous random variable X is fe(8) = {* *o; Sa + bx²; 0 < x< 1, {a e.w. (i) Find constants a and b if E(X) = 0.6 (ii) Find cumulative distribution function (cdf), moment generating function.
Q.3 The probability density function for a continuous random variable X is fe(8) = {* *o; Sa + bx²; 0 < x< 1, {a e.w. (i) Find constants a and b if E(X) = 0.6 (ii) Find cumulative distribution function (cdf), moment generating function.
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![Q.3 The probability density function for a continuous
random variable X is
(a + bx²; 0<x< 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 cdf.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f289d16-549b-4e2f-a6b0-09c8a3524b95%2F6e378439-8443-4452-a064-ecc61ea41934%2Fkrchj4o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q.3 The probability density function for a continuous
random variable X is
(a + bx²; 0<x< 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 cdf.
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