Question

In a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of choosing

a. a Democrat who is not a business major.
b. a student who is neither a Democrat nor a business major.

Answer 1

The question pertains to high school level Mathematics, with a focus on probability, statistics, and real-world applications of these concepts through examples such as surveys and sample calculations.

Step-by-step explanation:

The subject of this question is Mathematics, specifically focusing on probability and statistics as part of a high school curriculum. The various segments (Solution 1.14, Example 8.11, etc.) present real-life applications of statistical concepts using examples such as political science surveys and college enrollment data to demonstrate the calculation of confidence intervals, probability distributions, and random sampling.

For instance, in the given example of a class of 50 students with various majors and political affiliations, we can calculate probabilities by understanding the concepts of the binomial distribution and the principles of randomness and simple random sampling. These techniques are essential when working with probabilities and are commonly used in many high school and college-level statistics courses.