Binomial Review

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

• All trials must be independent.

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

• All trials are dependent on each other.

• 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.

• Yes

• No, the trials are not independent.

• No, there are more than 2 outcomes

What does the n stand for in the binomial probability formula?

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

• 
• 
• 
• 

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

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

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

• 3240x³

• 3240

• 262440x³

• 262440

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

• 4

• -24

• -96

• 216

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

• 3240x³

• 3240

• -262440x³

• -262440

• 1024

• 32768

• 1080

• 16777216