By expanding e in a Maclaurin series and integrating term by term show that My t Since f x is a probability distribution Using the definition of the Write the second term of the product ef x using the Maclaurin series tx f x as t 00 S 00 S x 10x dx fju 00 CE f x dx 1 expected value Write the third term of the product e f x using the Maclaurin series 00 GEIXE 2 1x dx 1 2 of a continuous random variable X and then moving all constants outside the integral the integral of the second term can be rearrange