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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 : Lifetime of a lightbulb

It is known that the lifetime of a lightbulb is normally distributed with a mean lifetime of 1,060 hrs and a standard deviation of 125 hrs. What is the probability that a randomly selected light bulb will last between 1,000 and 1,100 hrs?