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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Answer: Multiple BirthsThe following data represent the

Chapter 4, Problem 29AYU

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QUESTION:

Multiple Births The following data represent the number of live multiple-delivery births (three or more babies) in 2007 for women 15 to 54 years old:

Age

Number of Multiple Births

15-19

100

20-24

467

25-29

1620

30-34

2262

35-39

1545

40-44

328

45-54

105

Total

6427

(a) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother 30 to 39 years old. Interpret this probability.

(b) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother who was not 30 to 39 years old. Interpret this probability.

(c) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother who was less than 45 years old. Interpret this probability.

(d) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother who was at least 20 years old. Interpret this probability.

Questions & Answers

QUESTION:

Multiple Births The following data represent the number of live multiple-delivery births (three or more babies) in 2007 for women 15 to 54 years old:

Age

Number of Multiple Births

15-19

100

20-24

467

25-29

1620

30-34

2262

35-39

1545

40-44

328

45-54

105

Total

6427

(a) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother 30 to 39 years old. Interpret this probability.

(b) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother who was not 30 to 39 years old. Interpret this probability.

(c) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother who was less than 45 years old. Interpret this probability.

(d) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother who was at least 20 years old. Interpret this probability.

ANSWER:

Problem 29AYU

Answer:

Step 1

Age

Number of Multiple Births

15-19

100

20-24

467

25-29

1620

30-34

2262

35-39

1545

40-44

328

45-54

105

Total

6427

(a) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother 30 to 39 years old. Interpret this probability.

          P(30 - 34) = = 0.3519     P(35 - 39) = = 0.2403

   Therefore, P(30 - 39) =  P(30 - 34) +  P(35 - 39)

                                     =   0.3519 + 0.2403 = 0.5922.

(b) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother who was not 30 to 39 years old. Interpret this probability.

                   =  1 - P(30 - 39)

                   =  1 - 0.5922

                   =  0.4078.

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