Free Printable Binomial Model

Worksheets

Binomial Model

Total questions: 13

Worksheet time: 29mins

Name

Class

Date

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

Number of trials

Number of Successes

Probability of Successes

Probability of Failures

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

Yes

No, the trials are not identical.

Is this a probability distribution?

Yes

Is this a probability distribution?

Yes

Find the mean (expected value) of the probability distribution.

83.2

87.1

84.4

Given the probability model in the table below, what is the expected value of the random variable?
X 50 20 5
P(X) 0.1 0.3 0.6

4.67

7.5

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

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%

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

10.

A quarterback has a incomplete passing percentage of 30%. What is the probability that he does not complete exactly 8 of his 20 passes?

11.44%

12.45%

54%

12.34%

11.

Which of the following is false about binomial probabilities?

Their distributions are approximately symmetric.

Trials must be fixed.

Events musts be independent.

The probability of success must be 0.50

12.

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

All trials must be independent.

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 counted.

13.

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

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Binomial Model

Total questions: 13

Worksheet time: 29mins

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