In a certain state, 38550 boys and 36770 girls were born in 1996. Find the empirical probability of having a girl in this state.
The total number of births in the state in 1996 is:
38550 + 36770 = 75320
The number of girls born is 36770. The empirical probability of having a girl in this state is:
36770/75320 = 0.487 or approximately 48.7%
To find the empirical probability of having a girl in this state, we need to find the ratio of the number of girls born to the total number of births.
Step 1: Calculate the total number of births
Total number of births = Number of boys + Number of girls = 38550 + 36770 = 75320
Step 2: Calculate the empirical probability of having a girl
Empirical probability of having a girl = Number of girls / Total number of births = 36770 / 75320
Step 3: Simplify the fraction, if necessary
Empirical probability of having a girl ≈ 0.4877
Therefore, the empirical probability of having a girl in this state is approximately 0.4877.