The Social Security Administration documented the marriage year of various couples, along with the number of children they had. Use the table given below to answer the following. One (1) Two (2) Three (3) Four or more (4) 1996 (A) 1997 (B) 1998 (C) 1999 (D) 2000 (E) Total 7 17 15 6 (e) Compute P(EC n 4). 5 50 (c) Compute P((B UC) n 2). (d) Compute P((A n E) U 3). 6 13 (f) Compute P((BUD)C n 1). 12 18 16 65 7 20 5 18 18 68 16 6 14 15 13 64 Total 36 56 46 (a) If a couple is selected at random, what is the probability the couple was married in 2000 and had two children? 57 (b) If a couple is selected at random, what is the probability the couple was married before 1998 or had three children? 52 247

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The Social Security Administration documented the marriage year of various couples, along with the number of children they had. Use the table given below to answer the following.
Two (2)
Three (3) Four or more (4)
1996 (A)
1997 (B)
1998 (C)
1999 (D)
2000 (E)
Total
One (1)
7
17
15
(e) Compute P(EC n 4).
6
5
50
(c) Compute P((BU C) n 2).
(d) Compute P((An E) U 3).
6
13
(f) Compute P((BUD) C n 1).
12
18
16
65
7
20
5
18
18
68
16
6
14
15
13
64
Total
36
56
46
(a) If a couple is selected at random, what is the probability the couple was married in 2000 and had two children?
57
(b) If a couple is selected at random, what is the probability the couple was married before 1998 or had three children?
52
247
Transcribed Image Text:The Social Security Administration documented the marriage year of various couples, along with the number of children they had. Use the table given below to answer the following. Two (2) Three (3) Four or more (4) 1996 (A) 1997 (B) 1998 (C) 1999 (D) 2000 (E) Total One (1) 7 17 15 (e) Compute P(EC n 4). 6 5 50 (c) Compute P((BU C) n 2). (d) Compute P((An E) U 3). 6 13 (f) Compute P((BUD) C n 1). 12 18 16 65 7 20 5 18 18 68 16 6 14 15 13 64 Total 36 56 46 (a) If a couple is selected at random, what is the probability the couple was married in 2000 and had two children? 57 (b) If a couple is selected at random, what is the probability the couple was married before 1998 or had three children? 52 247
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