Question

In a particular state, automobiles that are more than 10 years old must pass a vehicle inspection in order to be registered. This state reports the probability that a car more than 10 years old will fail the vehicle inspection is 0.09 . Give a relative frequency interpretation of this probability.

Name: Problem 5, Chapter 5: Statistics Learning From Data
Uploaded: 2021-08-04T20:34:18-08:00
Duration: 46 s
Channel: Maxime Rossetti
Description: In a particular state, automobiles that are more than 10 years old must pass a vehicle inspection in order to be registered. This state reports the probability that a car more than 10 years old will fail the vehicle inspection is 0.09 . Give a relative frequency interpretation of this probability.

    In a particular state, automobiles that are more than 10 years old must pass a vehicle inspection in order to be registered. This state reports the probability that a car more than 10 years old will fail the vehicle inspection is 0.09 . Give a relative frequency interpretation of this probability.

Statistics Learning From Data

Thomas H. Short,… 2nd Edition

Chapter 5, Problem 5

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Solved by Expert Maxime Rossetti

08/04/2021

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In a particular state, automobiles that are more than 10 years old must pass a vehicle inspection in order to be registered. This state reports the probability that a car more than 10 years old will fail the vehicle inspection is 0.09 . Give a relative frequency interpretation of this probability.

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Key Concepts

Relative Frequency Interpretation

The relative frequency interpretation of probability is based on the idea that if an experiment or process is repeated many times under similar conditions, the probability of an event can be seen as the long-run proportion of times that the event occurs. A probability of 0.09 implies that, in the long run, the event is expected to happen 9% of the trials, meaning that roughly 9 out of every 100 observations would result in the event occurring.

Probability

Probability is a measure that quantifies how likely an event is to occur. It is generally expressed as a number between 0 and 1, where 0 indicates that an event will not occur and 1 indicates certainty that the event will occur. This concept is central to understanding and quantifying uncertainty in various contexts.

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