The data on the right represent the number of live multiple-delivery births (thr
ID: 3202850 • Letter: T
Question
The data on the right represent the number of live multiple-delivery births (three or more babies)in a particular year for Women 15 to 54 years old. Use the data to determine the following. Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39) (Round to three decimal places as needed.) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39) (Round to three decimal places as needed.) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was less than 45 years old. P(less than 45) (Round to three decimal places as needed.) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was atleast 20 years old. P(at least 20) Round to three decimal places as needed.)Explanation / Answer
a. Probability that a randomly selected multiple birth for women for 15-54 years involved a mother 30-39 years old
= Total number of multiple birth for women with 30-39 years old / Grand Total number of multi birth for women for 15-54 years
From the above table :
Total number of multiple birth for women with 30-39 years old = Total number of multiple birth for women with 30-34 years old + Total number of multiple birth for women with 35-39 years old =
= 2834 + 1852 = 4686
Grand Total number of multi birth for women for 15-54 = 7407
Probability that a randomly selected multiple birth for women for 15-54 years involved a mother 30-39 years old
= 4686/7407 = 0.633
Probability that a randomly selected multiple birth for women for 15-54 years involved a mother 30-39 years old = 0.633
b.) Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was not 30-39 years old
= 1- Probability that a randomly selected multiple birth for women for 15-54 years involved a mother 30-39 years old( which was calculated in (a.))
= 1 - 0.633 = 0.367
Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was not 30-39 years old =0.367
C.) Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was less than 45 years old
Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was less than 45 years old = 1 - Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was more than or equal to 45 years old
Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was more than or equal to 45 years old =
Total number ofmultiple birth for women for 15-54 years involved a mother who was more than or equal to 45 years old / Grand Total number of multi birth for women for 15-54
From the above table ,
Total number ofmultiple birth for women for 15-54 years involved a mother who was more than or equal to 45 years old = 118
Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was more than or equal to 45 years old = 118/7407 = 0.016
Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was less than 45 years old = 1- 0.016 = 0.984
d). Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was atleast 20 years old
Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was atleast 20 years old = 1- Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was less than 20 years old
Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was less than 20 years old = Total number ofmultiple birth for women for 15-54 years involved a mother who was less than 20 years old / Grand Total number of multi birth for women for 15-54
From the above table
Total number ofmultiple birth for women for 15-54 years involved a mother who was less than 20 years old = 93
Grand Total number of multi birth for women for 15-54 = 7407
Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was less than 20 years old = 93/7407 = 0.0126
Probability that a randomly selected multiple birth for women for 15-54 years involved a mother who was atleast 20 years old = 1- 0.0126 = 0.987
Age Number of multiple birth 15_19 93 20_24 505 25_29 1626 30_34 2834 35_39 1852 40_44 379 45_54 118 Grand Total 7407Related Questions
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