Binomial Variables

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. Which of the following represents P(Y=8)?

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

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

What does the (1-p) stand for in the binomial probability formula?

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

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

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

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What is the third term in the expansion of (x + 4)⁵?

• 640 x²

• 160 x³

• 4 x⁵

• 64 x³

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

What is the third term for the expansion (2x-5)⁵?

• 2000x³

• 500x³

• 5000x²

• 800x³