Binomial Setting or Not

Which of the following is NOT a requirement for a binomial setting.

• All trials are independent

• All trials are mutually exclusive

• There are a fixed number of trials

• There is the same probability of success (p) for each trial

Which of the following is a binomial setting?

• If you roll a 1 or 2 you lose, if you roll a 3 or 4 you tie, if you roll a 5 or6 you win!

• Picking a red card from a deck when the cards are NOT replaced (dependent events)

• You win if you roll and odd number on a die, you lose if your oll an even number on a die (you play exactly 10 times)

• You shoot a basketball as many times as you want.

A student is late to school 5% of the time on Mondays -Wednesdays but 15% of the time on Thursdays and Fridays. Suppose 20 school days are taken at random. Explain why this is NOT a binomial setting!

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Pedro drives the same route Monday through Friday. His route includes one traffic light. According to local data, there is a 55% probability that the light will be red when he arrives at the intersection on a random selected workday. Suppose we choose 10 of Pedro's workdays at random and let Y = the number of time that he is at the red light. What does P(Y=8) mean in this context?

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Match the following to their respective products.

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

Find the 3rd term in the expansion of (x-3)⁷

• -5103x²

• 189x⁵

• 189

• -5103

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

• 3240x³

• 3240

• 262440x³

• 262440