Hi

Can someone help with the pointing me in right direction with the following

"Use the MGF to compute the mean and variance of the distribution of x which has the following probability distribution

f(x) = x+1/14 if x=1,2,3,4

Many thanks

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- May 19th 2008, 12:44 PMstatsnewbieMGF Problem
Hi

Can someone help with the pointing me in right direction with the following

"Use the MGF to compute the mean and variance of the distribution of x which has the following probability distribution

f(x) = x+1/14 if x=1,2,3,4

Many thanks - May 19th 2008, 07:59 PMmr fantastic
The mass density function is where x = 1, 2, 3, 4.

By definition, the moment generating function m(t) for a random variable X is

.

So for your distribution:

.

By definition: evaluated at t = 0:

............

By definition: evaluated at t = 0:

.............

Formula: :

.............

I've left the details for you to fill in. - May 20th 2008, 12:04 AMstatsnewbieMGF Problem
Thanks

One further question.

If t=0 does that mean that each element of (e) evaluates to zero or have I missed something. - May 20th 2008, 12:23 AMmr fantastic
- May 20th 2008, 12:29 AMstatsnewbieMGF Problem
Yr prompt reply is appreciated

e^0=1. Of course............ it's what I meant but not what I wrote!!! It's still too early!!!!

Thanks a lot!!!!