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Moment generating function for a random variable

The moment generating function for a random variable X is given by Mx(t) = (1/4)+ (3/4)*(1/(1-t)), t>1. Determine formulas for the density function and distribution function. Sketch graphs for fx and Fx.

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Several population studies have demonstrated an inverse correlation of the rate of sudden infant death syndrome (SIDS) with birth weight. The occurrence of SIDS in one of a pair of twins provided the opportunity to test the hypothesis that birth w