1.Show the theoretical distribution of rolling three independent dice, recording the sum of the spots on the faces of th
Posted: Mon Nov 15, 2021 10:51 am
1.Show the theoretical distribution of rolling
three independent dice, recording the sum of the spots on the faces
of the three dice. Compute the Theoretical Mean.
2.Roll three dice 100 times, recording the sum
of the spots on the faces as you roll. Then find the average of the
spots. How close is this to the theoretical average?
a. Make a Frequency
Distribution of the Possible Outcomes of the Random
Variable x when you roll three independent dice
Record the sum of
the spots on the faces of the three dice
b. Find the Sum of the
Frequencies, f, of the Outcomes of the Random Variable
c. Find the Probability of
each Possible Outcome of the Random Variable by
dividing its frequency by the sum of frequencies
d. Compute the Mean and
Standard Deviation of the Probability Distribution
2. The Average,
Expectation, when you Roll Three Dice 100 times
a. Make a Frequency
Distribution of the Possible Outcomes of the Random
Variable x when you roll three independent dice 100 times
Record the sum of
the spots on the faces of the three dice
b. Find the Sum of the
Frequencies, f, of the Outcomes of the Random Variable
c. Find the Probability of
each Possible Outcome of the Random Variable by
dividing its frequency by the sum of frequencies
d. Compute the Mean and
Standard Deviation of the Probability Distribution
three independent dice, recording the sum of the spots on the faces
of the three dice. Compute the Theoretical Mean.
2.Roll three dice 100 times, recording the sum
of the spots on the faces as you roll. Then find the average of the
spots. How close is this to the theoretical average?
a. Make a Frequency
Distribution of the Possible Outcomes of the Random
Variable x when you roll three independent dice
Record the sum of
the spots on the faces of the three dice
b. Find the Sum of the
Frequencies, f, of the Outcomes of the Random Variable
c. Find the Probability of
each Possible Outcome of the Random Variable by
dividing its frequency by the sum of frequencies
d. Compute the Mean and
Standard Deviation of the Probability Distribution
2. The Average,
Expectation, when you Roll Three Dice 100 times
a. Make a Frequency
Distribution of the Possible Outcomes of the Random
Variable x when you roll three independent dice 100 times
Record the sum of
the spots on the faces of the three dice
b. Find the Sum of the
Frequencies, f, of the Outcomes of the Random Variable
c. Find the Probability of
each Possible Outcome of the Random Variable by
dividing its frequency by the sum of frequencies
d. Compute the Mean and
Standard Deviation of the Probability Distribution