- #1
Tomp
- 27
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Kinda urgent help! Probability function - E(2^X)??
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 solution
x f(x)
1 0.3
2 0.4
3 0.6
5 0.1
The next question asks
Calculate E(2^X)
Which I am totally unsure about
I calculated the mean as 0.22 and variance as 5.28
Can someone provide any clues on what to do to answer this?
My notes and textbook do not have any examples or notes similar to this :S
Thanks in advance
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 solution
x f(x)
1 0.3
2 0.4
3 0.6
5 0.1
The next question asks
Calculate E(2^X)
Which I am totally unsure about
I calculated the mean as 0.22 and variance as 5.28
Can someone provide any clues on what to do to answer this?
My notes and textbook do not have any examples or notes similar to this :S
Thanks in advance