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Identify elements of using a simulation. which of the following statements is false?

a.) a simulation can be more useful than a tree diagram when dealing with the probabilities of complicated problems.
b.) simulations enable you to approximate probability through experimental trials.
c.) sample sizes of 10 or less are generally representative in simulations.
d.) another name for simulations of probability is the monte carlo method.

1 Answer

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Final answer:

Simulations are a powerful tool in analyzing complex problems involving probability. While simulations can be more useful than tree diagrams, requiring sample sizes of 10 or less to be representative is false. Monte Carlo method is another name for simulations of probability.

Therefore, the false statement is c.) Sample sizes of 10 or less are generally representative in simulations.

Step-by-step explanation:

Simulations are a powerful tool in understanding and analyzing complex problems involving probability. The given statements are:

a.) A simulation can be more useful than a tree diagram when dealing with the probabilities of complicated problems. This statement is true. Simulations allow us to run numerous trials and approximate probabilities.

b.) Simulations enable you to approximate probability through experimental trials. This statement is true. Simulations involve conducting experimental trials to estimate probabilities.

c.) Sample sizes of 10 or less are generally representative in simulations. This statement is false. Sample sizes of 10 or less are usually too small to represent the entire population accurately.

d.) Another name for simulations of probability is the Monte Carlo method. This statement is true. The Monte Carlo method is a common name for simulations of probability.

Therefore, the false statement is c.) Sample sizes of 10 or less are generally representative in simulations.

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