To model the number of individuals who will experience side effects from a medication given to 390 adults, we want to choose a simulation that accurately reflects the probability of side effects occurring, which is 7% (or 0.07).
Let's evaluate each option:
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A number cube simulation with a six-sided number cube, where rolling a 3 indicates that side effects will be present.
- This has a 1 in 6 chance (approximately 16.67%) of representing side effects which is higher than 7%. Thus, this option is not suitable.
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A random number chart simulation with 100 numbers, where drawing a 23 indicates that side effects will be present.
- This means 1 out of 100 represents side effects (1%). This is also lower than the required 7%. So, it is not an appropriate choice.
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A spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present.
- Here, 1 out of 14 sections indicates a chance of about 7.14%. This closely aligns with the required 7%, making this option suitable.
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A coin simulation, with heads indicating that side effects will be present.
- This gives a 50% chance of experiencing side effects, which is far higher than the 7%. Therefore, this is not a valid simulation.
The best simulation to model the number of individuals who will experience side effects when the medication is given to 390 adults is:
A spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present.