Which of the following is NOT an assumption of the Binomial distribution?

All trials are dependent on each other.

All trials must be independent.

Each trial must be classified as a success or a failure.

The number of successes in the trials is counted.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let x = the number of aces you observe.

No, the trials are not independent.

No, there are more than 2 outcomes.

Which descriptions are true for a binomial distribution? Select all that apply.

The probabilities must add to 1.

There can be only two possible outcomes - success and failure.

The probability of success must be the same for each event.

Each trial must be independent.

The probability for each event must be 0.5.

Binomial

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSA.APR.C.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Expand the expression using the Binomial Theorem.
(2x+5)⁴

2x⁴ + 40x³ + 300x² + 1000x + 625

16x⁴ + 160x³ + 600x² + 1000x + 625

16x⁴ + 1000x³ + 600x² + 160x + 625

Tags

CCSS.HSA.APR.C.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Expand the expression using the Binomial Theorem.
(2x+5)⁴

2x⁴ + 40x³+ 300x² + 1000x +625

16x⁴+ 160x³ +600x² +1000x + 625

16x⁴ + 1000x³ + 600x²+ 160x +625

Tags

CCSS.HSA.APR.C.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

-24

-96

216

Tags

CCSS.HSA.APR.C.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the third term for the expansion (2x-5)⁵?

2000x³

500x³

5000x²

800x³

Tags

CCSS.HSA.APR.C.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the coefficient of the x³ term in (x-3)¹⁰

3240x³

3240

262440x³

262440

Tags

CCSS.HSA.APR.C.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

1024

32768

1080

16777216

Tags

CCSS.HSA.APR.C.5

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Binomial

Expand the expression using the Binomial Theorem.
(2x+5)⁴

Expand the expression using the Binomial Theorem.
(2x+5)⁴

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

What is the third term for the expansion (2x-5)⁵?

Find the coefficient of the x³ term in (x-3)¹⁰

What is the third term in the expansion of (x + 4)⁵?

Find the coefficient of the x³ term in (x-3)¹⁰

Multiply: (x + 7)(x + 9)

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Binomial

Expand the expression using the Binomial Theorem.(2x+5)4

Expand the expression using the Binomial Theorem.(2x+5)4

Which of the following is the coefficient for the xy3 term of the expansion (3x-2y)4?

What is the third term for the expansion (2x-5)5?

Find the coefficient of the x3 term in (x-3)10

What is the third term in the expansion of (x + 4)5?

Find the coefficient of the x3 term in (x-3)10

Multiply: (x + 7)(x + 9)

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Discover more resources for Mathematics

Expand the expression using the Binomial Theorem.
(2x+5)⁴

Expand the expression using the Binomial Theorem.
(2x+5)⁴

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

What is the third term for the expansion (2x-5)⁵?

Find the coefficient of the x³ term in (x-3)¹⁰

What is the third term in the expansion of (x + 4)⁵?

Find the coefficient of the x³ term in (x-3)¹⁰