Suppose that a town is randomly selected from the state. Which of these pairs of random variables are most likely independent

X= Average house size in acres and Y= Average weight of people living in that town

X= Average house size in acres and Y= Average annual income

X= Average height of people living in that town and Y= Average weight of people living in that town

X= Average monthly mortgage payment and Y= Average annual income

Is this a binomial setting? : Shuffle a deck of cards, turn over the first 7 cards, one at a time. Let Z= the number of Kings you observe

No, because the probability of success is not the same for each trial

Yes, it successfully satisfies BINS

No, because there are no binary outcomes

No, because there are no set number of trials

Is this a binomial setting?: Shuffle a deck of cards. Turn over the top card. Put the card back in the deck and shuffle again. Repeat until you get a queen. Let L=The number of trials until you get a queen

No, there are no set number of trials

No, there are no binary outcomes

Yes, it successfully satisfies BINS

No, the trials are not independent

Is this a binomial setting?: Shuffle a deck of cards. Turn over the top card. Put the card back in the deck and shuffle again. Repeat until you get a queen. Let L=The number of trials until you get a queen

No, there are no set number of trials

No, there are no binary outcomes

Yes, it successfully satisfies BINS

No, the trials are not independent

Is this a geometric setting?: Shake a bag of 30 marbles, with 10 red marbles, 10 blue marbles, and 10 green marbles. Reach into the bag and pull out a marble. Put the marble back in the bag and shake again. Repeat until you get a green marble. Let G=The number of trials until you get a green marble

Yes, this successfully satisfies BITS

No, there is a set number of trials

No, the trials are not independent

No, there are no binary outcomes

The same potato chip company reports that their bags of family sized chips each follows an approx. Normal distribution with a mean of 10.72 ounces and a standard deviation of 0.2 ounces. If the company wants to ship these chips into boxes that contain 6 bags, what would be the mean and standard deviation of the total weight of a box containing 6 bags of chips? The empty boxes have a mean weight of 10 ounces and a standard deviation of 0.05 ounces

Mean = 74.32 oz and St.Dev = .493

Mean = 74.32 oz and St.Dev = .243

Mean = 75.04 oz and St.Dev = .493

Mean = 75.04 oz and St.Dev = .243

A coin is weighted so that the probability of heads is .75. The coin is tossed 10 times and the number of heads is noted. This procedure is repeated a total of 50 times, and the number of heads is recorded each time. What kind of distribution has simulated?

The binomial distribution with n = 10 and p = .75

The sampling distribution of the sample proportion with n = 10 and p = .75

The sampling distribution of the sample proportion with n = 50 and p = .75

The binomial distribution with n = 50 and p = .75

AP Statistics Chapter 6.3

Authored by Barbara White

Other

12th Grade - University

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the difference between a discrete random variable and a continuous random variable?

A discrete random variable takes all values in an interval of numbers while a continuous random variable has a fixed set of possible values with gaps between.

A discrete random variable has a fixed set of possible values with gaps between while a continuous random variable takes all values in an interval of numbers.

A discrete random variable takes only negative numbers while a continuous random variable takes both positive and negative numbers.

A discrete random variable takes both positive and negative numbers while a continuous random takes only negative numbers.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

What are the two types of random variables

Discrete and Continuous

Binary and Non-Binary

Expected and Predicted

Positive and Negative

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A regular deck of cards has 4 aces. You are asked to pick one card from the deck. If the card you picked is an ace you win $5! However if you pick any other card, you lose $2. If you play this game many times, on average how much would you expect to win?

About $1.46

About $4.46

About -$1.46

About $3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Multiplying/Dividing each value of a random variable by a number x will...
I. Multiply/Divide the mean, median, quartiles, and percentiles by number x
II. Multiply/Divide the shape of the distribution by number x
III. Multiply/Divide the range, IQR, standard deviation by |x|

I and II

I and III

II and III

I, II, and III

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The count of X successes in a binomial setting is a:

Binary outcome

Binomial probability

Binomial distribution

Binomial random variable

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

To find the mean of a binomial random variable

Multiply the probability of success times the probability of failure.

Multiply the number of trials times the probability of failure

Multiply the number of trials times the probability of success.

Multiply the number of trials times the probability of success times the probability of failure.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

To find the mean/expected value for a geometric random variable

Multiply the number of trials times the probability of success on each trial.

Divide 1 by the probability of success on each trial.

Multiply the number of trial times the probability of failure on each trial.

Divide 1 by the probability of failure on each trial.

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AP Statistics Chapter 6.3

What is the difference between a discrete random variable and a continuous random variable?

What are the two types of random variables

A regular deck of cards has 4 aces. You are asked to pick one card from the deck. If the card you picked is an ace you win $5! However if you pick any other card, you lose $2. If you play this game many times, on average how much would you expect to win?

Multiplying/Dividing each value of a random variable by a number x will...
I. Multiply/Divide the mean, median, quartiles, and percentiles by number x
II. Multiply/Divide the shape of the distribution by number x
III. Multiply/Divide the range, IQR, standard deviation by |x|

The count of X successes in a binomial setting is a:

To find the mean of a binomial random variable

To find the mean/expected value for a geometric random variable

A ____________ consists of repeated trials of the same chance process in which each trial results in a success or a failure, trials are independent, each trial has the same probability of success, and the goal is to count the number of trials until the first success occurs.

Suppose that a town is randomly selected from the state. Which of these pairs of random variables are most likely independent

If knowing whether any event involving X alone has occurred tells us nothing about the occurrence of any event involving Y alone, then X and Y are

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Other

AP Statistics Chapter 6.3

What is the difference between a discrete random variable and a continuous random variable?

What are the two types of random variables

A regular deck of cards has 4 aces. You are asked to pick one card from the deck. If the card you picked is an ace you win $5! However if you pick any other card, you lose $2. If you play this game many times, on average how much would you expect to win?

Multiplying/Dividing each value of a random variable by a number x will...I. Multiply/Divide the mean, median, quartiles, and percentiles by number xII. Multiply/Divide the shape of the distribution by number xIII. Multiply/Divide the range, IQR, standard deviation by |x|

The count of X successes in a binomial setting is a:

To find the mean of a binomial random variable

To find the mean/expected value for a geometric random variable

A ____________ consists of repeated trials of the same chance process in which each trial results in a success or a failure, trials are independent, each trial has the same probability of success, and the goal is to count the number of trials until the first success occurs.

Suppose that a town is randomly selected from the state. Which of these pairs of random variables are most likely independent

If knowing whether any event involving X alone has occurred tells us nothing about the occurrence of any event involving Y alone, then X and Y are

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Other

Multiplying/Dividing each value of a random variable by a number x will...
I. Multiply/Divide the mean, median, quartiles, and percentiles by number x
II. Multiply/Divide the shape of the distribution by number x
III. Multiply/Divide the range, IQR, standard deviation by |x|