Binomial Geometric Poisson Distributions

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?

• 0.6%

• 0.00001%

• 0.0064%

• 0.0002%

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

• 0.010

• 0.167

• 0.25

• 0.021

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 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

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

Which distribution is described by predicting the number of girls among 10 children randomly selected from a group of 16 girls and 12 boys?

• Binomial

• Uniform

• Hypergeometric

• Geometric

If you want a certain number of successes in a set amount of trials, use the ???? method.

• Geometric

• Binomial

• Normal

• Poisson

If you want to know how many trials you will need before your first success, use the ???? model.

• Geometric

• Binomial

• Normal

• Poisson

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

• 0.620

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 

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

• 0.00983

• 0.167

• 0.25

• 0.0000756

Which of the following is NOT an assumption of the Binomial distribution?

• The probability of success must be static.

• Each trial must be classified as a success or a failure.

• All trials are dependent on each other.

• The number of successes in the trials is fixed.