Box Method Binomial Time Binomial

Find the product:

(4x+1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2

Find the coefficient of x⁴ in the expansion

• 495

• 165

• 6 ¹/₉

• 55

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally.

• 3.42

• 1.03

• 0.072

• 0.199

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

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

• The probability for each event must be 0.5.

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

• The probabilities must add to 1.

• Each trial must be independent.

(x + 5)² 

Hint: try (x + 5)(x + 5)

• x² + 25

• x² + 10x + 25

• x² + 10 x + 10

• x² + 10

Select the correct expansion of (1 + x)⁴

• 1 + 4x + 6x² + 4x³ + x⁴

• x + 3x² + 3x³ + x⁴

• 1 + 5x + 10x² + 5x³ + x⁴

• 1 + 2x² + x⁴

What is the product of (3x + 2)(2x - 5)?

If a binomial distribution has 10 trials and the probability of success is 0.3, what is the probability of exactly 3 successes?

• 0.2668

• 0.3828

• 0.3000

• 0.1211

Which of the following is a characteristic of a binomial experiment?

• Each trial is dependent on the previous one.

• There are more than two possible outcomes.

• The number of trials is fixed.

• The probability of success changes with each trial.

Expand the expression (x - 3)^2.