Question

Identify the following relationships as deterministic or probabilistic: a. The relationship between the speed limit and a driver's speed. b. The relationship between the price in dollars and the price in Euros of an object. c. The relationship between the number of pages and the number of words in a text book. d. The relationship between the possible numbers of pennies and the nickels in a pile if no other coins are in the pile and the amount of money in the pile is $\$ 3.00$.

Name: Problem 8, Chapter 15: Statistics Learning From Data
Uploaded: 2023-12-12T18:07:45-08:00
Channel: Rashmi Sinha

   Identify the following relationships as deterministic or probabilistic:
a. The relationship between the speed limit and a driver's speed.
b. The relationship between the price in dollars and the price in Euros of an object.
c. The relationship between the number of pages and the number of words in a text book.
d. The relationship between the possible numbers of pennies and the nickels in a pile if no other coins are in the pile and the amount of money in the pile is $\$ 3.00$.

Statistics Learning From Data

Thomas H. Short,… 2nd Edition

Chapter 15, Problem 8

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Solved by Expert Rashmi Sinha

12/12/2023

Step 1

The relationship between the speed limit and a driver's speed is probabilistic. This is because a driver's speed can vary depending on various factors, such as traffic conditions, weather, and personal driving habits. The speed limit is a guideline, but it does Show more…

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Identify the following relationships as deterministic or probabilistic: a. The relationship between the speed limit and a driver's speed. b. The relationship between the price in dollars and the price in Euros of an object. c. The relationship between the number of pages and the number of words in a text book. d. The relationship between the possible numbers of pennies and the nickels in a pile if no other coins are in the pile and the amount of money in the pile is $\$ 3.00$.

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Key Concepts

Deterministic Relationship

A deterministic relationship is one in which a specific set of input values will always lead to a single, predictable output without any randomness involved. In such cases, once the conditions are set, the relationship will consistently produce the same result, reflecting a direct and exact cause-and-effect mechanism.

Probabilistic Relationship

A probabilistic relationship involves an element of randomness or uncertainty, where a given set of input values may lead to several possible outcomes, each with a certain probability. This type of relationship is common in situations where variability or stochastic influences affect the outcome, making exact predictions impossible even if the inputs are known.

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