Question

Suppose that in a given town, 60% of the population is under age 40 (event A). It is found that the proportion of residents under age 40 who support mandatory inoculation is 0.72. The proportion of residents over age 40 who support mandatory inoculation is 0.52. Let event B support mandatory inoculation. Define the term probabilley by choosing the correct answer below.

A.Probability is the fraction of times an event occurs in n independent replications of an experiment.
B.Probability is the long run relative frequency of an event
C.Probability is the frequency of an event
D.Probability is the long-run event.

Answer 1

Probability is defined as the long run relative frequency of an event, used to estimate likelihoods based on population proportions in various fields such as healthcare, law, and electoral predictions.

The correct option is B.

Step-by-step explanation:

The question at hand involves the concept of probability, a fundamental aspect of statistics within mathematics. Probability can be defined as follows:

Probability is the long run relative frequency of an event. In the scenarios provided, including electoral polls, vaccination rates, and legal opinions, probability calculations are used to make estimations about populations based on sample data.

Specifically, probabilities are often derived from population proportions to make predictive statements or to understand the likelihood of an event occurring within a defined scope.

In practice, such probabilities help us navigate uncertainties in various fields, from healthcare to law and electoral predictions. For instance, in sampling populations, different proportions can emerge due to sampling variability, which is a normal occurrence in statistical sampling methods.

The correct option is B.