The data below represent the number of live multipledelivery

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

Solution

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]