Which of the following is false about binomial probabilities?

The probability of success must be 0.50

Their distributions are approximately symmetric.

Which one of these variables is a continuous random variable?

The time it takes a randomly selected student to complete an exam.

The number of tattoos a randomly selected person has.

The number of women taller than 68 inches in a random sample of 5 women.

The number of correct guesses on a multiple choice test.

The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 4% of the customers buy those clothes. The owner had 275 customers that day. Assuming this was a typical day, what is the mean and standard deviation of customers who buy specialty clothes?

11 customers, give or take 3.25

25 customers, give or take 24.5

11 customers, give or take 3.32

Which one of these variables is a binomial random variable?

Number of women taller than 68 inches in a random sample of 5 women

Time it takes a randomly selected student to complete a multiple choice exam

Number of textbooks a randomly selected student bought this term

Number of CDs a randomly selected person owns

Suppose that a quiz consists of 20 True-False questions. A student hasn't studied for the exam and will just randomly guesses at all answers (with True and False equally likely). How would you find the probability that the will student get 8 or fewer answers correct? √

Find the cumulative probability for 8 in a binomial distribution with n = 20 and p = 0.5.

Find the probability that X=8 in a binomial distribution with n = 20 and p=0.5.

Find the area between 0 and 8 in a uniform distribution that goes from 0 to 20.

Find the probability that X=8 for a normal distribution with mean of 10 and standard deviation of √5

Geometric vs. Binomial

Authored by Lauren Hawkins

Mathematics

10th Grade - University

CCSS covered

Used 507+ times

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This quiz focuses on probability distributions, specifically comparing and contrasting geometric and binomial distributions within the broader context of discrete probability theory. Based on the mathematical complexity, calculation requirements, and statistical reasoning involved, this material is appropriate for grades 10-12, particularly students in AP Statistics or similar advanced courses. The problems require students to distinguish between scenarios that follow geometric distributions (waiting for the first success) versus binomial distributions (counting successes in a fixed number of trials), calculate probabilities using appropriate formulas, determine expected values and standard deviations, and recognize the characteristics of different probability distributions. Students must demonstrate mastery of probability concepts including independence, the complement rule, and cumulative probabilities, while also understanding when to apply specific distribution models based on the structure of real-world scenarios. This quiz was created by a classroom teacher who designed it for students studying advanced probability and statistics at the high school level. The assessment serves multiple instructional purposes, functioning effectively as a comprehensive review tool before unit exams, homework practice to reinforce distribution concepts, or formative assessment to gauge student understanding of when and how to apply different probability models. Teachers can use this quiz to identify common misconceptions between geometric and binomial scenarios, particularly helping students recognize key phrases and conditions that determine which distribution applies. The content aligns with Common Core State Standards S-MD.A.3 and S-MD.A.4, which focus on developing probability distributions for random variables and using them to solve problems, as well as AP Statistics standards covering discrete probability distributions and their applications in real-world contexts.

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18 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. How many blood donors should the American Red Cross expect to collect from until it gets a donor with Type B blood?

9.1 donors

8.5 donors

10.3 donors

Cannot be determined.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that the tenth blood donor is the first donor with Type B blood?

approximately 0.00

0.316

0.0385

0.279

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood?

0.316

0.282

0.001

Not here

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.CP.B.9

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood?

0.088

0.697

0.214

0.303

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.CP.B.9

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

We calculate the probability of rolling a 6 for the first time on the 6^th roll of a die using the binomial distribution?

True

False

Tags

CCSS.HSS.MD.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A September 2011 Gallup survey suggests that 38% of Americans are planning on voting for Barack Obama in the 2012 presidential election. Among a random sample of 100 people, approximately how many would you expect to vote for Obama?

38 people

42 people

6 people

Cannot be determined

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.IC.B.4

CCSS.HSS.IC.A.1

CCSS.HSS.MD.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is true about geometric distributions?

Geometric distributions are approximately skewed right.

Geometric distributions are approximately symmetric.

Geometric distributions are approximately skewed left.

The shape could be symmetric or skewed.

Tags

CCSS.HSS.MD.A.3

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Geometric vs. Binomial

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. How many blood donors should the American Red Cross expect to collect from until it gets a donor with Type B blood?

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that the tenth blood donor is the first donor with Type B blood?

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood?

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood?

We calculate the probability of rolling a 6 for the first time on the 6^th roll of a die using the binomial distribution?

A September 2011 Gallup survey suggests that 38% of Americans are planning on voting for Barack Obama in the 2012 presidential election. Among a random sample of 100 people, approximately how many would you expect to vote for Obama?

Which of the following is true about geometric distributions?

Which of the following is false about binomial probabilities?

A test consists of 10 multiple choice questions with five choices for each question. As an experiment, you GUESS on each and every answer without even reading the questions.
What is the probability of getting exactly 6 questions correct on this test?

When rolling a fair die 100 times, what is the probability of rolling a "4"exactly 25 times?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Geometric vs. Binomial

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. How many blood donors should the American Red Cross expect to collect from until it gets a donor with Type B blood?

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that the tenth blood donor is the first donor with Type B blood?

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood?

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood?

We calculate the probability of rolling a 6 for the first time on the 6th roll of a die using the binomial distribution?

A September 2011 Gallup survey suggests that 38% of Americans are planning on voting for Barack Obama in the 2012 presidential election. Among a random sample of 100 people, approximately how many would you expect to vote for Obama?

Which of the following is true about geometric distributions?

Which of the following is false about binomial probabilities?

A test consists of 10 multiple choice questions with five choices for each question. As an experiment, you GUESS on each and every answer without even reading the questions. What is the probability of getting exactly 6 questions correct on this test?

When rolling a fair die 100 times, what is the probability of rolling a "4"exactly 25 times?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

We calculate the probability of rolling a 6 for the first time on the 6^th roll of a die using the binomial distribution?

A test consists of 10 multiple choice questions with five choices for each question. As an experiment, you GUESS on each and every answer without even reading the questions.
What is the probability of getting exactly 6 questions correct on this test?