Suppose it is known that approximately 7 percent of adults who take a certain medication will experience side effects. Which of the following simulations could model the number of individuals who will experience side effects if the medication is given to 390 adults?(1 point)

Responses

a number cube simulation with a six-sided number cube, where rolling a 3 indicates that side effects will be present
a number cube simulation with a six-sided number cube, where rolling a 3 indicates that side effects will be present

a random number chart simulation with 100 numbers, where drawing a 23 indicates that side effects will be present
a random number chart simulation with 100 numbers, where drawing a 23 indicates that side effects will be present

a spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present
a spinner simulation with 14 equally spaced sections, with section 2 indicating that side effects will be present

a coin simulation, with heads indicating that side effects will be present

1 answer

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:

  1. 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.
  2. 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.
  3. 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.
  4. 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.