Suppose you roll a die 10 times and record the proportion of sixes. Suppose you then conduct a simulation of this experiment, first 100 times, then 1000 times, and draw one histogram of the proportion of sixes found after 100 simulations and a second histogram of the proportions of sixes found after 1000 simulations.

Which of the following statements are true regarding the histograms of the results from the two simulations?
I.The histograms from both simulations will be skewed left since a fair die does not exist in nature.
II.The histograms from both simulations will be mound-shaped and symmetric.
III. The histogram from the experiment that has 1000 simulations will tend to be more mound-shaped and symmetric than the histogram from the experiment that has 100 simulations.
a.I only
b. I and II
c. II and III
d. III only
e. None of the statements is true.

Im thinking either c or e because the probability of getting a 6 is 1/6 for every simulation.

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asked by Nick
  1. I would go with d, however, it depends on the words "more" mound-shapped and symettric

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