Solved: Is this valid? Determine whether each of the following simulation designs is

Chapter 5, Problem 17

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QUESTION:

Is this valid? Determine whether each of the following simulation designs is valid. Justify your answer. (a) According to a recent poll, 75% of American adults regularly recycle. To simulate choosing a random sample of 100 U.S. adults and seeing how many of them recycle, roll a 4-sided die 100 times. A result of 1, 2, or 3 means the person recycles; a 4 means that the person doesnt recycle. (b) An archer hits the center of the target with 60% of her shots. To simulate having her shoot 10 times, use a coin. Flip the coin once for each of the 10 shots. If it lands heads, then she hits the center of the target. If the coin lands tails, she doesnt.

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QUESTION:

Is this valid? Determine whether each of the following simulation designs is valid. Justify your answer. (a) According to a recent poll, 75% of American adults regularly recycle. To simulate choosing a random sample of 100 U.S. adults and seeing how many of them recycle, roll a 4-sided die 100 times. A result of 1, 2, or 3 means the person recycles; a 4 means that the person doesnt recycle. (b) An archer hits the center of the target with 60% of her shots. To simulate having her shoot 10 times, use a coin. Flip the coin once for each of the 10 shots. If it lands heads, then she hits the center of the target. If the coin lands tails, she doesnt.

ANSWER:

Step 1 of 3

a)

Valid, because if you roll a 1,2 or 3 then the person recycles which corresponds with 3 out of 4 possible outcomes:

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