The following represent the results of a survey in which individuals were asked to disclose what they perceive to be the ideal number of children.





d. Among the females, what is the probability the individual believes the ideal number of children is 2?

Verified step by step guidance

1. Identify the total number of females surveyed, which is given in the table as 188.
2. Find the number of females who believe the ideal number of children is 2, which is given as 87.
3. Recall that the probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
4. Set up the probability formula for this problem: \(P(\text{ideal number of children} = 2 \mid \text{female}) = \frac{\text{Number of females who chose 2}}{\text{Total number of females}}\).
5. Substitute the values from the table into the formula: \(P = \frac{87}{188}\).

Key Concepts

Probability

Probability measures the likelihood of an event occurring, expressed as a number between 0 and 1. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this question, it involves finding the chance that a randomly selected female believes the ideal number of children is 2.

Conditional Probability

Conditional probability is the probability of an event occurring given that another event has already occurred. Here, we focus on females only, so the probability is conditional on the individual being female. This means we consider only the female subgroup when calculating the probability.

Frequency Distribution Table

A frequency distribution table organizes data into categories and shows the count of observations in each category. This table displays the number of males and females who chose each ideal number of children, allowing us to extract relevant counts for probability calculations.