The value of a and b so that the following is probability mass function

X: 0 1 2
P(X = x): 3a 3b 4b

with mean 1.1, is:

1
(0.2, 0.2)
2
(0.1, 0.1)
3
(0.1, 0.2)
4
(0.2, 0.1)

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