at a hospital, 56 percent of the babies born are not girls. of the baby girls born, 12 percent are…

at a hospital, 56 percent of the babies born are not girls. of the baby girls born, 12 percent are premature. what is the probability of a premature baby girl being born at this hospital? round to the nearest percent.\no 5%\no 7%\no 21%\no 27%

at a hospital, 56 percent of the babies born are not girls. of the baby girls born, 12 percent are premature. what is the probability of a premature baby girl being born at this hospital? round to the nearest percent.\no 5%\no 7%\no 21%\no 27%

Answer

Explanation:

Step1: Find the percentage of baby - girls

If 56% of the babies born are not girls, then the percentage of baby - girls is $100 - 56=44%$. We can write this as a decimal: $0.44$.

Step2: Find the percentage of premature baby - girls

We know that 12% of the baby - girls are premature. To find the percentage of premature baby - girls among all babies, we multiply the proportion of baby - girls by the proportion of premature baby - girls among baby - girls. So we calculate $0.44\times0.12 = 0.0528$.

Step3: Convert to percentage and round

To convert the decimal to a percentage, we multiply by 100: $0.0528\times100 = 5.28%$. Rounding to the nearest percent gives 5%.

Answer:

5%