The student will compare empirical data and a theoretical distribution to determine if a Tet gambling game fits a discrete distribution.
The student will demonstrate an understanding of long-term probabilities.
Supplies
one “Lucky Dice” game or three regular dice
Procedure
Round answers to relative frequency and probability problems to four decimal places.
The experimental procedure is to bet on one object. Then, roll three Lucky Dice and count the number of matches. The number of matches will decide your profit.
What is the theoretical probability of one die matching the object?
Choose one object to place a bet on. Roll the three Lucky Dice. Count the number of matches.
Let
X = number of matches. Theoretically,
X ~
B (______,______)
Let
Y = profit per game.
Organize the data
In
[link] , fill in the
y value that corresponds to each
x value. Next, record the number of matches picked for your class. Then, calculate the relative frequency.
Complete the table.
x
y
Frequency
Relative Frequency
0
1
2
3
Calculate the following:
= _______
s
x = ________
= _______
s
y = _______
Explain what
represents.
Explain what
represents.
Based upon the experiment:
What was the average profit per game?
Did this represent an average win or loss per game?
How do you know? Answer in complete sentences.
Construct a histogram of the empirical data.
Theoretical distribution
Build the theoretical PDF chart for
x and
y based on the distribution from the
Procedure section.
x
y
P (
x ) =
P (
y )
0
1
2
3
Calculate the following:
μ
x = _______
σ
x = _______
μ
x = _______
Explain what
μ
x represents.
Explain what
μ
y represents.
Based upon theory:
What was the expected profit per game?
Did the expected profit represent an average win or loss per game?
How do you know? Answer in complete sentences.
Construct a histogram of the theoretical distribution.
Use the data
Note
RF = relative frequency
Use the data from the
Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.
P (
x = 3) = _________________
P (0<
x <3) = _________________
P (
x ≥ 2) = _________________
Use the data from the
Organize the Data section to calculate the following answers. Round your answers to four decimal places.
RF (x = 3) = _________________
RF (0<
x <3) = _________________
RF (
x ≥ 2) = _________________
Discussion question
For questions 1 and 2, consider the graphs, the probabilities, the relative frequencies, the means, and the standard deviations.
Knowing that data vary, describe three similarities between the graphs and distributions of the theoretical and empirical distributions. Use complete sentences.
Describe the three most significant differences between the graphs or distributions of the theoretical and empirical distributions.
Thinking about your answers to questions 1 and 2, does it appear that the data fit the theoretical distribution? In complete sentences, explain why or why not.
Suppose that the experiment had been repeated 500 times. Would you expect
[link] or
[link] to change, and how would it change? Why? Why wouldn’t the other table change?
Questions & Answers
A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?