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## Main Question or Discussion Point

Hi,

I've been learning about MGFs in college and though the problems based on them are quite easy, I fail to understand what exactly MGFs are and why they are denoted by Mx(t)...what are we doing, essentially, when we find the MGF of a function (wherein we multiply the required function by e^(tx) and integrate within certain limits)....and finally the properties of MGFs (e.g Max+b(t)...what does this all mean????

I've been learning about MGFs in college and though the problems based on them are quite easy, I fail to understand what exactly MGFs are and why they are denoted by Mx(t)...what are we doing, essentially, when we find the MGF of a function (wherein we multiply the required function by e^(tx) and integrate within certain limits)....and finally the properties of MGFs (e.g Max+b(t)...what does this all mean????