The 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?

• 0.962

• 0.132

• 0.831

• 0.250

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

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

• 50%
• 17.62%
• .58.81%
• 41.19%

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

In Vietnam, the probability of rain is 70%.  Find the probability of it raining at most 2 days in a week.

• .9712
• 0.0250
• .0287
• .2988

The probability that a school bus will be late to school is 0.15. Find the probability that in 5 school’s days, the bus will be late exactly 2 days.

• 0.1382

• 0.2372

• 0.1352

• 0.2682

In a survey, it is found that 25% of the bulbs in a particular shop are spoiled. Find the probability that out of 10 bulbs, exactly 3 bulbs are spoiled,

• 0.2613

• 0.2503

• 0.3533

• 0.2563

Bob is taking a 100 question test.  They have a 90 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70  questions correctly?

• ₁₀₀C₇₀   ( 0.18  )³⁰ ( 0.90  )⁷⁰
  
• ₁₀₀C₇₀   ( 0.10  )³⁰ ( 0.90  )⁶⁰
• ₁₀₀C₇₀   ( 0.10  )³⁰ ( 0.90  )⁷⁰
• ₉₉C₇₀   ( 0.10  )³⁰ ( 0.90  )⁷⁰

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

• Number of trials
• Number of Successes
• Probability of Successes
• Probability of Failures

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%