Binomial Distribution (Leaving Cert Mathematics): Quizzes

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Binomial Distribution
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What does the binomial distribution model?

Number of successes in nn trials

How many possible outcomes must each trial have in a binomial distribution?

Two

What must remain constant for all trials in a binomial distribution?

Probability of success

The trials in a binomial distribution must be what?

Independent

What is the mean of a binomial distribution?

n×pn \times p

What is the variance of a binomial distribution?

n×p×(1−p)n \times p \times (1-p)

What is (53)\binom{5}{3} equal to?

10

In the defects problem, what is the value of pp?

0.05

What is (202)\binom{20}{2} in the defects example?

190

What is the probability of exactly 3 heads in 5 flips of a fair coin?

0.3125

Explore Leaving Cert Mathematics Revision Notes by Topics

Fundamentals of Probability

The Basics of Counting

Permutations / Arrangements

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Combinations

Set Theory and Probability

Combined Events/Bernouilli Trials

Events

Expected Value

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Expected Value

Explore Leaving Cert Mathematics Model Answers by Topics

Fundamentals of Probability

The Basics of Counting

Permutations / Arrangements

The Basics of Probability

Combinations

Set Theory and Probability

Combined Events/Bernouilli Trials

Events

Expected Value

Show more

Expected Value

Explore Leaving Cert Mathematics Flashcards by Topics

Fundamentals of Probability

The Basics of Counting

Permutations / Arrangements

The Basics of Probability

Combinations

Set Theory and Probability

Combined Events/Bernouilli Trials

Events

Expected Value

Show more

Expected Value

Explore Leaving Cert Mathematics Exam Questions by Topics

Fundamentals of Probability

The Basics of Counting

Permutations / Arrangements

The Basics of Probability

Combinations

Set Theory and Probability

Combined Events/Bernouilli Trials

Events

Expected Value

Show more

Expected Value

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