Sampling Without Replacement (VCE SSCE Mathematical Methods): Quizzes

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Sampling without replacement
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What changes after each selection in sampling without replacement?

The probability of selecting an item

In sampling without replacement, are the events independent or dependent?

Dependent

A jar has 3 mints and 4 toffees. What is the initial probability of selecting a mint?

37\frac{3}{7}

In a tree diagram for dependent events, what do you multiply?

Along the branches

For the jar (3 mints, 4 toffees), what is Pr⁡(X=0)\Pr(X = 0) when selecting 2 lollies?

27\frac{2}{7}

For the jar example, what is Pr⁡(X=1)\Pr(X = 1) for selecting exactly 1 mint in 2 draws?

47\frac{4}{7}

What must the sum of all probabilities in a probability distribution equal?

11

What is the name of the distribution for sampling without replacement from two types?

Hypergeometric distribution

Using combinations, Pr⁡(X=2)\Pr(X = 2) for 2 mints from jar equals what?

(32)×(40)(72)\frac{\binom{3}{2} \times \binom{4}{0}}{\binom{7}{2}}

In the dolphin example, what is Pr⁡(X=2)\Pr(X = 2) for exactly 2 tagged in a sample of 3?

1255\frac{12}{55}

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Discrete Random Variables

Sampling Without Replacement

Sampling with Replacement: The Binomial Distribution

Conditional Probability and Independence

Expected Value (Mean), Variance, and Standard Deviation

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Discrete Random Variables

Sampling Without Replacement

Sampling with Replacement: The Binomial Distribution

Conditional Probability and Independence

Expected Value (Mean), Variance, and Standard Deviation

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Discrete Random Variables

Sampling Without Replacement

Sampling with Replacement: The Binomial Distribution

Conditional Probability and Independence

Expected Value (Mean), Variance, and Standard Deviation

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Discrete Random Variables

Sampling Without Replacement

Sampling with Replacement: The Binomial Distribution

Conditional Probability and Independence

Expected Value (Mean), Variance, and Standard Deviation

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