6. Correct. The answer is false

Sample points and their associated probabilities are shown in 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

 

(a)Since the grand total, 42b, must equal 1, b= 1/42.

 

(b)From the table P(U=2, V=1)= 5b + 5/42.

 

(c)From the table

 

P(U ≥1, V≤ 2) = ∑ ∑ f(u,v)

u≥1 v 2

P(U ≥1, V≤ 2)= (2b +3b + 4b) + (4b + 5b + 6b)

P(U ≥1, V≤ 2)=4/7