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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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## Q : Confidence intervals contain the population mean

The following problem should be answered in R. Any answers (partial or complete) would be greaty appreicated! Generate 50 normal distributions with mean= 15 and standard deviation= 3 with a sample size of 30 each. For each of these data sets, calcu