What is the MGF for a random variate X with given parameters?

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Question :
The mfg of a random variate X is given by Mx(t) = 0.8 et + 0.2)11
i) Find the P(x>0)
ii) Find E[x2]
 
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TomJerry said:
Question :
The mfg of a random variate X is given by Mx(t) = 0.8 et + 0.2)11

Do you mean "mgf" ("moment generating function") and should that be
(0.8e^t+ 0.2)^11 or 0.8(e^t+ 0.2)^11?

i) Find the P(x>0)
ii) Find E[x2]
You seem to have the wrong idea about this board. We don't do your homework for you. Show us what you know about this problem, what you have tried, and where you are stuck.
 
hey , i have the same problem too, i don't know how to start at this. please help. just tell how to proceed.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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