Binomial Random Variables

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

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

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)?

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

• 0.962

• 0.132

• 0.831

• 0.250

Which of the following is NOT a requirement for the Binomial distribution?

• All trials must be independent.

• Events are binary (success or failure)

• All trials are dependent on each other.

• There is a set # of trials

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times? Is this an example of binomial or geometric?

• binomial

• geometric

X ~ B(20, 0.5)

Find P(X ≥ 7)

• 0.07

• 0.13

• 0.87

• 0.94

A recent survey found out that 75% of teenagers wear glasses. In a random sample of 15 teenagers, what is the probability that at least 10 of them wear glasses?

• 0.1651

• 0.3135

• 0.1483

• 0.8516

Sara takes a test that has 6 multiple choice questions, where each question has four possible choices. If she randomly guesses on each question, what is the probability that she will get exactly 3 questions correct?

• 0.962

• 0.831

• 0.132

• 0.250

A recent survey found out that 75% of teenagers wear glasses. In a random sample of 15 teenagers, what is the probability that exactly 10 of them wear glasses? (Binomial)

• 0.1651

• 0.3135

• 0.0486

• 0.0645