Binomial Distribution

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? (You need to figure out the p value first. It is not given to you.)

• 0.962
• 0.132
• 0.831
• 0.250

An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?

• 0.2373

• 0.3955

• 0.7627

• 0.6045

5% of workers in the US use public transportation to get to work. You randomly select 250 workers and ask them if they use public transportation to get to work. Find the Probability that exactly 16 workers say yes.

• .8769

• .1923

• .0637

• 0

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

The table represents the probability of guessing correct on a 5 question true-false quiz.  Find the probability for at least 4 questions correct.

• .03125
• .15625
• .3125
• .1875

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.MD.A.3

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

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.1

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%

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. 

You are a terrible driver. Whenever you drive, there is a 70% chance that you will run over a pedestrian. If you go for a drive 15 times, what is the probability that you will run over 7 or more pedestrians?

• 0.98
• 0.02
• 0.95
• 0.05

Which of the following is not a characteristic of a binomial experiment?

• True or false questions

• Repeated trials

• Constant probability of success

• Only 2 possible outcomes