7. Incorrect. The answer is true, not false

a) The marginal probability function for U is given by P(U=u) = f₁(u) and can be obtained from the margin totals in the right right-hand column of the following table:

U,V	0	1	2	3	Totals
0	0	b	2b	3b	6b
1	2b	3b	4b	5b	14b
2	4b	5b	6b	7b	22b
Totals	6b	9b	12b	15b	42b

P(U=u) = f₁(u):

P(U=0) = 6b=1/7

P(U=1) = 14b=1/3

P(U=2) = 22b = 11/21.

Remember b = 1/42. Check that: 1/7 + 1/3 + 11/21 = 1

b) The marginal probability function for V is given by P(V=v) = f₂(v) and can be obtained from the margin totals in the last row column of the table above:

P(V=v) = f₂(v):

P(V=0)= 6b=1/7

P(V=1)=9b=3/14

P(V=2)=12b=2/7

P(V=3)=15b=5/14.

Remember b = 1/42. Check that: 1/7 + 3/14 + 2/7 + 5/14 = 1