1. If we select a birth at randam, what is the probability the mother is 19 years of age or younger.
2. What is the probability she is 30 years of age or older.
3. What is the expected age of the mother at birth.
4. What is the variance of mother's ages
We need some data to do it anyway.
To answer these questions, we need some relevant data about the age distribution of mothers at the time of birth. Without these data, we can't provide a specific answer. However, I can explain the general approach and formula for calculating probabilities, expected values, and variance.
1. Probability the mother is 19 years of age or younger:
To calculate the probability, you need to know the total number of births and the number of births with mothers aged 19 or younger. Divide the number of births with mothers aged 19 or younger by the total number of births. Multiply the result by 100 to get a percentage if desired.
2. Probability the mother is 30 years of age or older:
To calculate this probability, you'll need the same information as before but specifically for mothers aged 30 or older.
3. Expected age of the mother at birth:
To calculate the expected age, you'll need the age of each mother at birth and the number of births. Multiply each mother's age by the number of births for that age, sum them all up, and divide by the total number of births.
Expected age = (Sum of (age * number of births))/(Total number of births)
4. Variance of mother's ages:
To calculate the variance, you'll need the age of each mother at birth and the number of births. First, calculate the squared difference between each mother's age and the expected age. Multiply each squared difference by the number of births for that age, sum them all up, and divide by the total number of births.
Variance = (Sum of (squared difference * number of births))/(Total number of births)
Again, please note that without actual data, we can't provide specific values for the probabilities, expected age, or variance of mothers' ages.