Binomial X Binomial A^2 - B^2

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 the distribution below a probability distribution? Why or why not?

• Yes. All P(x) values are between 0 and 1, and ∑P(x) = 1

• No, not all P(x) values are between 0 and 1.

• No, ∑P(x) ≠ 1.

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?

• 0.161

• 0.965

• 0.015

• 0.997

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

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

Which of the following could be examples of binomial probabilities? (Select all that apply.)

• P(success) = 0.99, P(failure) = 0.01

• P(A) = 0.4, P(B) = 0.4

• P(A )= 1/3, P(B) = 1/3, P(C) = 1/3

• P(3) = 1/6, P(not 3) = 5/6

Expand (x−7)²

• x² - 14x + 49

• -x² - 14x - 49

• x² + 14x - 49

• 49x²

What is the Binomial expansion of (x + 1)⁵ ?

• x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

• x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

• x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

• x⁵ + 1

Which one of these variables is a binomial random variable?

• Time it takes a randomly selected student to complete a multiple choice exam

• Number of textbooks a randomly selected student bought this term 

• Number of women taller than 68 inches in a random sample of 5 women

• Number of CDs a randomly selected person owns

Classify by number of terms:
2x – 9

• Monomial

• Binomial

• Trinomial

• 4-Term Polynomial

Find the product.
(x+7)²

• x² + 7x + 7x + 49

• x² + 7x + 7

• 7x² + x + 7

• x² + 14x + 49