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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 : Bell-shaped distribution with a mean

Data with 250 observations are drawn from a bell-shaped distribution with a mean of 50 and a standard deviation of 12. Approximately how many observations are more than 74?