Homework Answers
Add Answer to:
5. Given the loaded (unfair) dice probabilities below, use Monte Carlo simulation to simulate the sum...
The assignment is to perform a Monte Carlo simulation for the probability distribution of rolling two...
The assignment is to perform a Monte Carlo simulation for the probability distribution of rolling two die and taking the sum of the two die. Therefore, your random variable will be x=2,3,4,5,6,7,8,9,10,11,12 and you will obtain the probabilities for each of those random variables by a Monte Carlo simulation. The requirements to get full credit are 1. R script must run 2. When I run your R script the script should clearly display the mean, the standard deviation and a...
Problem 9 (for all students) Monte Carlo simulation is often used to analyze probabilities of failure...
Problem 9 (for all students) Monte Carlo simulation is often used to analyze probabilities of failure of geotechnical engineering structures. a) For a case, where the limit state function, G, can be described by three normally distributed random variables such that G-Xi-X2x X3, describe a step-by-step methodology (i.e. an algorithm; MatLab code is not needed) that calculates the probability of failure with Monte Carlo simulation. (3 p) I. Il Running the algorithm that you proposed in a), you can visualize...
Assignment Specifications We are going to use the Monte Carlo Method to determine the probability of...
Assignment Specifications We are going to use the Monte Carlo Method to determine the probability of scoring outcomes of a single turn in a game called Pig. Your Task For this assignment you will simulate a given number of hold?at?N turns of a game called Pig, and report the estimated probabilities of the possible scoring outcomes. You are NOT implementing the game of Pig, only a single turn of this game. The value of N will be acquired via user...
In Yahtzee, 5 standard dice are rolled up to three times on a given turn. A...
In Yahtzee, 5 standard dice are rolled up to three times on a given turn. A player can choose to save anywhere from 0 - 5 of the dice between rolls 1 and 2 and between rolls 2 and 3, meaning that the player can set aside certain dice before rolling the remaining dice if they choose to do so. Suppose that a given player does not take advantage of saving die rolls and instead rolls all 5 dice each...
8. We roll two fair dice. (1) Given that the roll results in a sum of...
8. We roll two fair dice. (1) Given that the roll results in a sum of 6 or less, what is the conditional probability that doubles are rolled? A "double" means that two dice have the same number (2) Given that the two dice land on different numbers, what is the conditional proba- bility that at least one die roll is a 1?
1. In the more complex situation discussed in the Gapenski article about Monte Carlo simulation, in...
1. In the more complex situation discussed in the Gapenski article about Monte Carlo simulation, in addition to the throughput variable, the following second uncertain variable was analyzed: a. project horizon b. discount rate c. accounts payable d. salvage value 2. Suppose a project has cash flows of (-20, 5, 16, 5, 9, 2) in years (0, 3, 4, 5, 6, 7) respectively. What is IRR? a. 53.86% b. 27.98% c. 17.32% d. 14.44% 3. Suppose a project has cash...
The Dice game of "Pig" can be played with the following rules. 1. Roll two six-sided dice. Add the face values...
The Dice game of "Pig" can be played with the following rules. 1. Roll two six-sided dice. Add the face values together. 2. Choose whether to roll the dice again or pass the dice to your opponent. 3. If you pass, then you get to bank any points earned on your turn. Those points become permanent. If you roll again, then add your result to your previous score, but you run the risk of losing all points earned since your...
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability...
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability of obtaining a sum not greater than 77 b) (5 points) In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6? o) (5 points) Given that the frstroll was an odd number what is the probability that sum exceeds 6? The notation for this is P(A I B)- Probability(sum exceeds 6 given that the first...
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e....
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
Suppose that you have a loaded die, where the probability of landing on each number is...
Suppose that you have a loaded die, where the probability of landing on each number is given by the following: x 1 2 3 4 5 6 P(X=x) 0.3 0.1 0.1 0.1 0.1 .3 Find the standard deviation of a single roll of the die.
Problem 9 (for all students) Monte Carlo simulation is often used to analyze probabilities of failure of geotechnical engineering structures. a) For a case, where the limit state function, G, can be described by three normally distributed random variables such that G-Xi-X2x X3, describe a step-by-step methodology (i.e. an algorithm; MatLab code is not needed) that calculates the probability of failure with Monte Carlo simulation. (3 p) I. Il Running the algorithm that you proposed in a), you can visualize...
8. We roll two fair dice. (1) Given that the roll results in a sum of 6 or less, what is the conditional probability that doubles are rolled? A "double" means that two dice have the same number (2) Given that the two dice land on different numbers, what is the conditional proba- bility that at least one die roll is a 1?
The Dice game of "Pig" can be played with the following rules. 1. Roll two six-sided dice. Add the face values together. 2. Choose whether to roll the dice again or pass the dice to your opponent. 3. If you pass, then you get to bank any points earned on your turn. Those points become permanent. If you roll again, then add your result to your previous score, but you run the risk of losing all points earned since your...
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability of obtaining a sum not greater than 77 b) (5 points) In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6? o) (5 points) Given that the frstroll was an odd number what is the probability that sum exceeds 6? The notation for this is P(A I B)- Probability(sum exceeds 6 given that the first...
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
Most questions answered within 3 hours.
-
This must be done in Java and it must contain a public static
void (string []args)...
asked 23 seconds from now -
An economy has a Cobb–Douglas production function:
Y=Kα(LE)1−αY=Kα(LE)1−α
The economy has a capital share of 0.30,...
asked 14 minutes ago -
60.0 mL of a silver chlorate solution with a concentration of
0.654 M is mixed with...
asked 19 minutes ago -
Asked if he has any regrets about the way he's handled the
coronavirus crisis so far,...
asked 30 minutes ago -
True or False?
Considering a door as a rigid body. Its angular motion happens
in a...
asked 34 minutes ago -
In
IUPAC naming, do we concider the prefix in alphabatizing?
In other words do we look...
asked 39 minutes ago -
If a trust has income required to be distributed of $11,500,
other amounts paid or required...
asked 55 minutes ago -
The degree of ionization of a weak acid
____________________.
Select all that are True.
a) varies...
asked 55 minutes ago -
Cereal for Breakfast. A cereal company claims
70% of Americans start the day with cereal for...
asked 56 minutes ago -
An elevator has a placard stating that the maximum capacity is
2400 lblong dash15 passengers. So,...
asked 59 minutes ago -
two charged proteins P1 and P2 are located at the positions
(1m,1m) and (-1m,1m) respectively on...
asked 1 hour ago -
eBook
Calculator
Job Order Cost Sheet
Remnant Carpet Company sells and installs commercial carpeting
for office...
asked 1 hour ago