Favorite Day to Order Takeout A survey was conducted by Wakefield Research in which participants were asked to disclose their favorite night to order takeout for dinner. The following data are based on their results.
b. What is the probability a randomly selected individual would choose Friday as their favorite night to order takeout?

Verified step by step guidance

1. Step 1: Count the total number of survey responses by counting all the entries in the table. This will give you the total number of individuals surveyed.
2. Step 2: Count the number of times 'Friday' appears in the table. This represents the number of individuals who chose Friday as their favorite night to order takeout.
3. Step 3: Use the formula for probability, which is the number of favorable outcomes divided by the total number of outcomes. In this case, the probability P(Friday) is given by: \[P(Friday) = \frac{\text{Number of times Friday appears}}{\text{Total number of responses}}\]
4. Step 4: Substitute the counts from Step 1 and Step 2 into the formula to express the probability as a fraction.
5. Step 5: (Optional) You can convert the fraction to a decimal or percentage to better interpret the probability, but this is not required unless specified.

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, the probability of choosing Friday is the count of 'Friday' responses divided by the total responses.

Frequency Distribution

A frequency distribution shows how often each outcome occurs in a data set. Counting the number of times each day appears helps organize the data and is essential for calculating probabilities. Here, tallying the number of 'Friday' entries is necessary to find the probability.

Sample Space

The sample space is the set of all possible outcomes in an experiment or survey. Understanding the total number of responses (sample size) is crucial because it forms the denominator when calculating probabilities. In this case, the sample space includes all the favorite nights listed by participants.