Age Number of Multiple Births
15-19 93
20-24 505
25-29 1624
30-34 2840
35-39 1847
40-44 379
45-54 116
Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old. Interpret this result. Is it unusual?
Find the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old.
To determine the probability, we need to find the number of multiple births that involved a mother who was at least 40 years old and divide it by the total number of multiple births.
The total number of multiple births for women 15-54 years old is the sum of the numbers of multiple births in each age group:
Total multiple births = 93 + 505 + 1624 + 2840 + 1847 + 379 + 116 = 7404
The number of multiple births involving a mother who was at least 40 years old is the sum of the numbers of multiple births in the age groups 40-44 and 45-54:
Multiple births with mother at least 40 years old = 379 + 116 = 495
Therefore, the probability that a randomly selected multiple birth involves a mother who was at least 40 years old is given by:
Probability = (Multiple births with mother at least 40 years old) / (Total multiple births)
Probability = 495 / 7404 ≈ 0.067 or 6.7%
Interpretation:
This means that approximately 6.7% of all multiple births for women aged 15-54 involve a mother who is at least 40 years old.
Unusualness:
To determine whether this result is unusual, we would need to establish what would be considered unusual in this context. Without further information, it is difficult to say if 6.7% is unusual or not.
To find the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old, you need to calculate the ratio between the number of multiple births with mothers aged 40 or older and the total number of multiple births.
First, calculate the total number of multiple births from mothers aged 40 or older:
Total multiple births from mothers aged 40-44: 379
Total multiple births from mothers aged 45-54: 116
Add these two values together: 379 + 116 = 495
Next, calculate the total number of multiple births for women 15-54 years old by summing up all the given values:
Total multiple births for women 15-19: 93
Total multiple births for women 20-24: 505
Total multiple births for women 25-29: 1624
Total multiple births for women 30-34: 2840
Total multiple births for women 35-39: 1847
Total multiple births for women 40-44: 379
Total multiple births for women 45-54: 116
Add all these values together: 93 + 505 + 1624 + 2840 + 1847 + 379 + 116 = 7404
Finally, calculate the probability by dividing the number of multiple births with mothers aged 40 or older by the total number of multiple births:
Probability = Number of multiple births from mothers aged 40 or older / Total number of multiple births
Probability = 495 / 7404 ≈ 0.0669
Interpretation: The probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old is approximately 0.0669, or 6.69%. This means that approximately 6.69% of multiple births in this age group are from mothers aged 40 or older.
Determining if it is unusual depends on the context and what is considered normal for multiple births involving mothers aged 40 or older. If this percentage is significantly different from what is expected or the norm, it may be considered unusual. Further analysis and comparison with historical data or relevant benchmarks would be needed to determine if this probability is unusual in the given context.
To find the probability, we need to calculate the proportion of multiple births that involved a mother who was at least 40 years old out of the total number of multiple births for women aged 15-54.
First, we sum the number of multiple births for women who are at least 40 years old:
Number of multiple births for women 40-44 years old = 379
Number of multiple births for women 45-54 years old = 116
Total number of multiple births for women at least 40 years old = 379 + 116 = 495.
Next, we sum the total number of multiple births for women aged 15-54:
Total number of multiple births for all ages = sum of the number of multiple births for each age group = 93 + 505 + 1624 + 2840 + 1847 + 379 + 116 = 7404.
Therefore, the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was at least 40 years old is:
Probability = Number of multiple births for women at least 40 years old / Total number of multiple births for all ages
Probability = 495 / 7404 ≈ 0.0669 (rounded to four decimal places).
Interpretation and assessing the unusualness:
A probability of 0.0669 means that approximately 6.69% of multiple births for women aged 15-54 involved a mother who was at least 40 years old.
To determine if this probability is unusual, we would need additional context or a comparison to a reference point (e.g., historical data, national statistics, etc.). Without such information, it is difficult to definitively say if this probability is considered unusual.