exhaustive

Examples of exhaustive in the following topics:

• Complementary Events

  • The event $A$ and its complement $[\text{not}\ A]$ are mutually exclusive and exhaustive, meaning that if one occurs, the other does not, and that both groups cover all possibilities.
  • Generally, there is only one event $B$ such that $A$ and $B$ are both mutually exclusive and exhaustive; that event is the complement of $A$ .
  • There are no other possibilities (exhaustive), and both events cannot occur at the same time (mutually exclusive).
  • Since we can only either chose blue or red (exhaustive) and we cannot choose both at the same time (mutually exclusive), choosing blue and choosing red are complementary events, and $P(\text{blue}) + P(\text{red}) = 1$.
  • However, being prime or being composite are not exhaustive because the number 1 in mathematics is designated as "unique. "

• Introduction to binomial distribution (special topic)

  • These four scenarios exhaust all the possible ways that exactly one of these four people could refuse to administer the most severe shock, so the total probability is 4×(0.35)1(0.65)3 = 0.38.

• Does the Difference Prove the Point?

  • The two hypotheses in this case are not exhaustive; there are other possibilities.

• Types of Variables

  • Categorical variables have values that describe a "quality" or "characteristic" of a data unit, like "what type" or "which category. " Categorical variables fall into mutually exclusive (in one category or in another) and exhaustive (include all possible options) categories.

• Observational studies

  • While one method to justify making causal conclusions from observational studies is to exhaust the search for confounding variables, there is no guarantee that all confounding variables can be examined or measured.

• Solutions to Exercises in Chapter 2

  • the most popular textbooks may be harder to find available online, because more student demand exhausts the supply more quickly.