AP Statistics : How to define a sample set

Study concepts, example questions & explanations for AP Statistics

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Example Questions

Example Question #1 : How To Define A Sample Set

Which of the following is a continuous variable?

i. The average weight of a newborn puppy

ii. The number of snow days during the last month

iii. The amount of time that it takes to read a book

 

Possible Answers:

i and iii

ii and iii

None of the above

i and ii

i only

Correct answer:

i and iii

Explanation:

A continuous variable can take on an infinite continuum of possible real number values. Weight and the amount of time to read a book are continuous because it is impossible to write down all the distinct potential values. 

Example Question #1 : How To Define A Sample Set

For which of these is a binomial probability model most reasonable?

Possible Answers:

The number of times, out of  attempts, that a player can throw a basketball through the hoop from  feet away.

The number of people surveyed until someone who has no pets is found. 

The number of times a randomly selected college student has gone to the beach in the last year. 

The number of cards drawn from a deck until the two jokers are drawn. 

The colors of the gummy bears in a particular bag of gummy bears from a randomly selected store rack. 

Correct answer:

The number of times, out of  attempts, that a player can throw a basketball through the hoop from  feet away.

Explanation:

A binomial model counts the number of successes out of a specific number of attempts at a task when each attempt has a constant probability of success. The correct choice is the one that specifies the number of attempts. 

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