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 PM #1

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- May 19th 2008, 07:59 PM #2
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 AM #3

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- May 20th 2008, 12:23 AM #4

- May 20th 2008, 12:29 AM #5

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