Identify Binomial Experiments

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.

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

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

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?

• 0.2373

• 0.3955

• 0.7627

• 0.6045

Select the correct expansion

• 1 + 4x + 6x² + 4x³ + x⁴

• 1 + 2x + ³/₂ x² + ¹/₂x³ + ¹/₁₆ x⁴

• 1 + 2x + 3x² + 2x³ + ¹/₂ x⁴

• 1 + ¹/₂ x + ¹/₄ x² + ¹/₈x³ + ¹/₁₆ x⁴

Find the coefficient of x⁴ in the expansion

• 495

• 165

• 6 ¹/₉

• 55

Find the expansion

• x³ + x²y + xy² + y³

• x³ + 6x²y² + y³

• x³ + 6xy + y³

• x³ + 3x²y + 3xy² + y³

Find the expansion

• a⁵ − 5a⁴b + 10a³b² − 10a²b³ + 5ab⁴ − b⁵

• a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

• a⁵ - 5a⁴b - 10a³b² - 10a²b³ - 5ab⁴ - b⁵

• a⁵ − 5ab + 10ab − 10ab + 5ab − b⁵