Chapter 1. The Binomial Setting and Binomial Distributions

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Stat Tutor

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Questions 1-4

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Question 1.1

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Correct. There are only two possible outcomes of interest (AB negative or something else); we have fifty donors, so n is fixed; the donors were random (so independent); and the probability in the general population of a person having type AB negative blood is constant. This is a binomial setting.

Incorrect. There are only two possible outcomes of interest (AB negative or something else); we have fifty donors, so n is fixed; the donors were random (so independent); and the probability in the general population of a person having type AB negative blood is constant. This is a binomial setting.

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Question 1.2

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Correct. There are only two possible outcomes (defective or not), and a fixed number of returned strollers (45). However, some parents will return a stroller out of an abundance of caution, while others will return strollers because they have had issues with them and been dissatisfied due to safety or other reasons. It is reasonable that the probability of a returned stroller being defective is not the same for all.

Incorrect. There are only two possible outcomes (defective or not), and a fixed number of returned strollers (45). However, some parents will return a stroller out of an abundance of caution, while others will return strollers because they have had issues with them and been dissatisfied due to safety or other reasons. It is reasonable that the probability of a returned stroller being defective is not the same for all.

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Question 1.3

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Correct. As cards are dealt from the deck, the composition of what remains (especially in terms of the number of aces) changes. If cards are considered ace or not, there are only two possible outcomes.

Incorrect. As cards are dealt from the deck, the composition of what remains (especially in terms of the number of aces) changes. If cards are considered ace or not, there are only two possible outcomes.

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Question 1.4

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Correct. In this case, we are examining a fixed number of packages (24) and seals are either good or not. However, because packaging equipment in factories typically packs sequentially, it’s likely that either all the seals are good (if the case was produced and sealed before the equipment began malfunctioning) or bad.

Incorrect. In this case, we are examining a fixed number of packages (24) and seals are either good or not. However, because packaging equipment in factories typically packs sequentially, it’s likely that either all the seals are good (if the case was produced and sealed before the equipment began malfunctioning) or bad.

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