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Ch. 4 - Probability
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446당신이 사용하는 게 아니라요?교과서 변경
4장, 문제 4.1.19

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




Square Peg Sydney Smith wrote in “On the Conduct of the Understanding” that it is impossible to fit a square peg in a round hole.

검증된 단계별 안내
1
Understand the problem: The task is to express the degree of likelihood of an event (in this case, the impossibility of fitting a square peg into a round hole) as a probability value between 0 and 1. Probability values range from 0 (impossible event) to 1 (certain event).
Recall the definition of probability: Probability is a measure of how likely an event is to occur. An event that is described as 'impossible' has a probability of 0.
Interpret the statement: The phrase 'it is impossible to fit a square peg in a round hole' indicates that the event cannot occur under any circumstances.
Assign the probability value: Based on the interpretation of 'impossible,' assign a probability value of 0 to this event.
Conclude: The probability of fitting a square peg into a round hole, as described in the problem, is 0. This is the final probability value expressed between 0 and 1.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

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. Understanding how to calculate and interpret probabilities is essential for analyzing situations involving uncertainty.
추천 영상:
5:37
Introduction to Probability

Event

In probability theory, an event is a specific outcome or a set of outcomes from a random experiment. For example, in the context of fitting a square peg into a round hole, the event could be defined as 'the peg fits.' Identifying the event of interest is crucial for determining its probability.
추천 영상:
05:54
Probability of Multiple Independent Events

Sample Space

The sample space is the set of all possible outcomes of a random experiment. In the case of fitting a square peg into a round hole, the sample space would include all configurations of the peg and hole. Understanding the sample space helps in calculating the probability of specific events by providing a complete context for the possible outcomes.
추천 영상:
05:11
Sampling Distribution of Sample Proportion
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