II Random variable Y has the Moment generating Function Mt 1

II. Random variable Y has the Moment generating Function M(t)= 1/(1? 2t)^6. (a)Use the Moment Generating Function to find the mean of the distribution. NO CREDIT FOR ANY OTHER METHOD\' b) Use the Moment Generating Function to find the variance of the distribution. NO CREDIT FOR ANY OTHER METHOD c) Since there is a one-to-one correspondence between Moment Generating Functions and Density functions, use the front cover of the book to identify the TYPE of distribution and parameter(s) of the distribution of X. d) X and Y are independent random variables with Moment Generating Functions , find the Moment Generating Function of W = X + Y. Use the Moment Generating Function to identify the distribution of W = X + Y.

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