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Answer format: The manner in which the respondent provides an answer, including options for multiple-choice questions. Evaluation criteria: The criteria used to assess and score the response. The degree of standardization varies, ranging from strictly prescribed questions with predetermined answers to open-ended questions with subjective ...
The free-response section contains six open-ended questions that are often long and divided into multiple parts. [15] The first five of these questions may require twelve minutes each to answer and normally relate to one topic or category. The sixth question consists of a broad-ranging investigative task and may require approximately twenty ...
Transition questions are used to make different areas flow well together. Skips include questions similar to "If yes, then answer question 3. If no, then continue to question 5." Difficult questions are towards the end because the respondent is in "response mode." Also, when completing an online questionnaire, the progress bars lets the ...
Probability is the branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur. [note 1] [1] [2] This number is often expressed as a percentage (%), ranging from 0% to ...
In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to determine the probability of drawing one color or another ...
for any Borel set A of real numbers with Lebesgue measure equal to zero, the probability of X being valued in A is also equal to zero; for any positive number ε there is a positive number δ such that: if A is a Borel set with Lebesgue measure less than δ, then the probability of X being valued in A is less than ε.
What is the probability of winning the car by switching given the player has picked door 1 and the host has opened door 3? The answer to the first question is 2 / 3 , as is shown correctly by the "simple" solutions. But the answer to the second question is now different: the conditional probability the car is behind door 1 or door 2 ...
The probability is sometimes written to distinguish it from other functions and measure P to avoid having to define "P is a probability" and () is short for ({: ()}), where is the event space, is a random variable that is a function of (i.e., it depends upon ), and is some outcome of interest within the domain specified by (say, a particular ...