Construct an experimental, discrete probability table by rolling three six-sided dice and calculating the total. Perform 200 trials and record the results. The rolling of three six-sided dice can be simulated using a graphing calculator by “rolling” each of the dice in a separate list using:
Math –> Prob –> randInt(1, 6, 200)
Once all three lists are generated, add them to create the totals of the 200 trials.
Use these to define a normal probability distribution for the total on the roll of 3 dice.
ProbabilityRelative Frequency HistogramNormal Curve????(9.5≤????≤10.5)P(9.5≤x≤10.5) ????(????≤3)P(x≤3) ????(????≥15)P(x≥15) ????(8≤????≤10)P(8≤x≤10)
Calculate the theoretical probabilities of the indicated rolls and include them on the table below.
ProbabilityRelative Frequency HistogramNormal CurveTheoretical Probability????(9.5≤????≤10.5)P(9.5≤x≤10.5) ????(????≤3)P(x≤3) ????(????≥15)P(x≥15) ????(8≤????≤10)P(8≤x≤10)
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