Question 1

What does sampling 'with replacement' mean in the context of selecting songs from a playlist?

Accepted Answer

Each selection is made from the same original playlist

Answer

The playlist is changed after each selection

Answer

Songs are not returned to the playlist after selection

Answer

Only unique songs can be selected

Question 2

What is the purpose of the RANDUNIQUE function in the simulation?

Accepted Answer

To generate random numbers without duplicates

Answer

To select songs with replacement

Answer

To calculate probabilities

Answer

To create a playlist

Question 3

When simulating the selection of songs without replacement, what must be done after each selection?

Accepted Answer

Remove the selected song from the playlist

Answer

Count the number of selections

Answer

Record the genre of the song

Answer

Return the selected song to the playlist

Question 4

What does a result of '0' in the sum of TRUE and FALSE values indicate?

Accepted Answer

No rap songs were selected

Answer

All songs were rap songs

Answer

One rap song was selected

Answer

Two rap songs were selected

Question 5

What is the theoretical probability of drawing two rap songs in a row without replacement?

Accepted Answer

(30/100) × (29/99)

Answer

(30/100) + (29/99)

Answer

(29/99) × (30/100)

Answer

(30/100) × (30/100)

Question 6

How does the simulated proportion of drawing two rap songs compare to the theoretical probability?

Accepted Answer

It may vary

Answer

It is always higher

Answer

It is always lower

Answer

It is equal

Question 7

What is the expected outcome when drawing 5 songs with replacement from the playlist?

Accepted Answer

Some songs may repeat

Answer

Only rap songs will be drawn

Answer

All songs will be unique

Answer

No songs will be drawn

Question 8

In the candy jar scenario, why would you sample without replacement?

Accepted Answer

To avoid selecting the same candy multiple times

Answer

To ensure all candies are the same type

Answer

To decrease the variety of candies

Answer

To increase the total number of candies

Question 9

What does the SEQUENCE function do in the context of the simulation?

Accepted Answer

Creates a sequence of numbers

Answer

Generates a list of random numbers

Answer

Identifies song types

Question 10

What is the significance of using the TRANSPOSE function in the simulation?

Accepted Answer

To switch rows and columns

Answer

To calculate probabilities

Answer

To create unique random numbers

Answer

To sort the data

Question 11

What is the main goal of the simulations performed in this lab?

Accepted Answer

To estimate probabilities of song selections

Answer

To identify song genres

Answer

To analyze song lengths

Answer

To create a playlist

Question 12

How does sampling with replacement affect the probability of drawing a specific genre?

Accepted Answer

It does not affect the probability

Answer

It makes the probability unpredictable

Answer

It decreases the probability

Answer

It increases the probability

Question 13

What does a result of '2' in the sum of TRUE and FALSE values indicate?

Accepted Answer

Two rap songs were selected

Answer

All songs were rap songs

Answer

One rap song was selected

Answer

No rap songs were selected

Question 14

What is the expected outcome when drawing songs without replacement?

Accepted Answer

All songs will be unique

Answer

Songs may repeat

Answer

Only rap songs will be drawn

Question 15

What is the primary difference between sampling with and without replacement?

Accepted Answer

With replacement allows duplicates, without does not

Answer

Without replacement allows duplicates, with does not

Answer

Both methods allow duplicates

Answer

Both methods do not allow duplicates

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