Write a matlab program that rolls a fair 10-sided dice

Assignment Help Computer Engineering

Reference no: EM132206053

(a) Write a MATLAB program that rolls a fair 10-sided dice (whose faces go from 0 to 10) for some given number of times. In other words, you will pick a number uniformly at random on from {1, 2, 3, . . . 10} a number of times independently.

(b) Roll the dice 100 times, and meanwhile count the number of times you obtain each face. Write down the frequency of each face. For example, if you got 13 1s out of the 100 rolls, your result would be 0.13 for 1. Plot a graph that shows the face in the X-axis vs frequency in the Y-axis.

(d) What we have done so far can be considered as the use of computer to and an approximation to the PMF of the dice roll. Compare the results you obtained in (b) and (c) with the "actual" PMF of the roll of the 10-sided fair dice. This so-called Monte Carlo method is pretty powerful and can be used to approximate the probabilities of events that are hard to calculate using formal methods.

(d) As another exercise, using one million rolls of the dice, approximate the PMF of X + |X-6|, where X is the random variable that is uniform on {1,2,3 ....10} (Rolls of the 10-sided dice). Compare what you obtain with the exact PMF of X + |X-6|. Plot both the approximate PMF and the actual PMF.

*hint

a) Type x = rand, and hit enter. Nice; the function rand is like a continuous random variable that is uniformly distributed on [0, 1]. We now need to nd a way to obtain a discrete random variable out of this continuous random variable.

b) Think about what type of numbers would you get from x = ceil(10*rand). Type help ceil to the command line to see what ceil does.

Reference no: EM132206053

Questions Cloud

Write a test program to declare and initialize two integer : Write a method called logicAnd that accepts as parameters two arrays of integer (A and B) and returns another array of integer (C).

Write a method called append that accepts two integer : Write a method called append that accepts two integer arrays as parameters and returns a new array that contains the result of appending the second array.

Write a merge program that merges two ordered lists : Write a "merge" program that merges two ordered lists of integers into a new ordered list.

Design for the business and application domains : MN503 - Network requirement analysis and plan - Investigate and develop an architectural internetworking design for the business and application domains

Write a matlab program that rolls a fair 10-sided dice : Write a MATLAB program that rolls a fair 10-sided dice (whose faces go from 0 to 10) for some given number of times.

Prompt the user for an integer between 10 and 100 : Write a MATLAB script (write using MATLAB) that prompts the user for an integer between 10 and 100 by displaying.

Write a matlab script to numerically solve any first order : Write a MATLAB script file to numerically solve any first order initial value problem using Rulers method.

Accept a two-dimensional array of integers as a parameter : Write a method called is Magic Square that accepts a two-dimensional array of integers as a parameter and returns true if it is a magic square.

Disadvantages of adding indexes to a database tables : What are the advantages and disadvantages of adding indexes to a database tables?

User Account

All Pages