In Exercises 13–20, express the indicated degree of likelihood as...

4. Probability

Basic Concepts of Probability

Statistics

4. Probability

Basic Concepts of Probability

1:31 minutes

Problem 4.1.15

Textbook Question

In Exercises 13–20, express the indicated degree of likelihood as a probability value between 0 and 1.

Movies Based on a study of the movies made in a recent year, 33 out of every 100 movies have a female lead or co-lead.

Verified step by step guidance

Step 1: Understand the problem. The goal is to express the likelihood of a movie having a female lead or co-lead as a probability value between 0 and 1. Probability is calculated as the ratio of favorable outcomes to total outcomes.

Step 2: Identify the given values. From the problem, we know that 33 out of every 100 movies have a female lead or co-lead. This means the number of favorable outcomes is 33, and the total number of outcomes is 100.

Step 3: Write the formula for probability. The formula is:

P = \frac{favorable outcomes}{total outcomes}

Step 4: Substitute the given values into the formula. Replace 'favorable outcomes' with 33 and 'total outcomes' with 100 in the formula:

P = \frac{33}{100}

Step 5: Simplify the fraction if necessary. The probability value should be expressed as a decimal or fraction between 0 and 1. If the fraction can be simplified, do so, or convert it to a decimal by dividing the numerator by the denominator.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Probability

Probability is a measure of the likelihood that a particular event will occur, expressed as a value between 0 and 1. A probability of 0 indicates that the event cannot happen, while a probability of 1 indicates certainty that the event will occur. In this context, it quantifies the chance of a movie having a female lead or co-lead based on observed data.

Proportion

Proportion is a statistical measure that represents the part of a whole. It is calculated by dividing the number of favorable outcomes by the total number of outcomes. In the given scenario, the proportion of movies with a female lead or co-lead is 33 out of 100, which can be converted into a probability value.

Data Interpretation

Data interpretation involves analyzing and making sense of numerical information to draw conclusions. In this case, interpreting the data from the study of movies allows us to understand the representation of female leads in films. This skill is essential for converting raw data into meaningful probability values.

Watch next

Master Introduction to Probability with a bite sized video explanation from Patrick

Start learning

����app

In Exercises 13–20, express the indicated degree of likelihood as a probability value between 0 and 1.Movies Based on a study of the movies made in a recent year, 33 out of every 100 movies have a female lead or co-lead.