3. Which of the following can be classified as a binomial experiment? a) shootin

Question

3. Which of the following can be classified as a binomial experiment?

a) shooting free throws until you make ten if your probability of making a given free throw is 0.60.
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b) Drawing four cards from a standard deck of cards without replacement and determining x, the number of aces drawn.

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c) The probability of a defective light bulb being produced by a manufacturer of light bulbs is 0.03. If 12 light bulbs are selected from the entire production of light bulbs, let x represent the number of defective bulbs selected .
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d) In a sample of 20 bolts, 3 are defective. Three bolts are selected at random without replacement and the number of defective bolts is recorded.

Explanation / Answer

a is hypergeoemtric, not binomial b is not binomial because the draws are not independent c is binomial d is not binomial because you're selecting more than 10% of the population and the trials are not independent.

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