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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 : Decision and conclusions using the p-value approach

At a 5% level of significance, test to determine if more than 21% of the population will like the new soft drink. Clearly state your decision and conclusions using the p-value approach.