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## Main Question or Discussion Point

Question

A moment-generating function of X is given by M(t) = 0.3e^t + 0.4e^(2t) + 0.2e^(3t) + 0.1e^(5t)

Find the pmf of X

My attempt

x f(x)

1 0.3

2 0.4

3 0.2

4 0

5 0.1

I am just wondering whether it is correct to say "0" for 4 or is it more correct to say

x f(x)

1 0.3

2 0.4

3 0.2

5 0.1

or is either acceptable

A moment-generating function of X is given by M(t) = 0.3e^t + 0.4e^(2t) + 0.2e^(3t) + 0.1e^(5t)

Find the pmf of X

My attempt

x f(x)

1 0.3

2 0.4

3 0.2

4 0

5 0.1

I am just wondering whether it is correct to say "0" for 4 or is it more correct to say

x f(x)

1 0.3

2 0.4

3 0.2

5 0.1

or is either acceptable