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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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## Q : Estimate chocolate consumption

An investigator wants to estimate chocolate consumption (dichotomous-eat chocolate or do not) in kindergarten students (just one group). How many students would be required to ensure a 95% confidence interval estimate to be within 5% of the true p