The data below represent the number of live multiple-delivery births (3 or more
ID: 3439407 • Letter: T
Question
The data below represent the number of live multiple-delivery births (3 or more babies) in a particular year for women 15 to 54 years old.
Age
Number of multiple births.
15.19
94
20-24
508
25-29
1639
30-34
2834
35-39
1841
40-44
373
45-54
115
Use this data to answer the next 4 questions.
Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30-39 years old.
P(30 to 39) ____ (round to the three decimal places as needed.)
Determine the probability that a randomly selected 15-54 years old involved a mother NOT 30-39 years old.
P( NOT 30 to 39) ____ (round to the three decimal places as needed.)
Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother less than 45 years old.
P( less than 45) ____ (round to the three decimal places as needed.)
Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother at least 20 years old.
P( at least 20) ____ (round to the three decimal places as neede
Age
Number of multiple births.
15.19
94
20-24
508
25-29
1639
30-34
2834
35-39
1841
40-44
373
45-54
115
Explanation / Answer
Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30-39 years old.
There are 7404 total participants here.
Thus,
P(30-39) = (2834 + 1841)/7404 = 0.631415451 [answer]
********************
P(not 30-39) = 1 - P(30-39) = 0.368584549 [answer]
********************
P(less than 45) = 1 - P(45 or older) = 1 - 115/7404 = 0.984467855 [answer]
*******************
P(at least 20) = 1 - P(less than 20) = 1 - 94/7404 = 0.98730416 [answer]
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