How to define a sample set

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AP Statistics › How to define a sample set

Questions 1 - 2
1

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

i and iii

i and ii

ii and iii

i only

None of the above

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.

2

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

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

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

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

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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