**6. Incorrect. The answer is false, not true**

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