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.

• discrete random variable relative frequency histogram for this data. Clearly label the axes and scale.
• Calculate the mean and standard deviation for the roll totals:

?= ?=

Use these to define a normal probability distribution for the total on the roll of 3 dice.

• Compare the probabilities of the experimental discrete probability distribution and the normal curve distribution for several cases listed on the table. Complete the table.

Relative Frequency Histogram Normal Curve . Write a brief paragraph comparing the results of the table above. Discuss any similarities or differences in these results. . There are 216 possible outcomes for the roll of three dice. The theoretical probabilities for the outcomes of the roll of three six-sided dice are: \fCalculate the theoretical probabilities of the indicated rolls and include them on the table below. Relative Frequency Probability Normal Curve Theoretical Probability Histogram P(9.5 15) P(8