Simulation of tossing a pair of fair dice can be done using the following two

MATLAB lines

X=ceil(6*rand(1,n));

Y=ceil(6*rand(1,n));

where n is the number of tosses.

1. Write a MATLAB script to determine the probability P[X+Y=7]. Use a "for" loop to run simulation fifty times with n = 10000. Plot the 100 estimated probability values along with the theoretical result of P[X+Y=7].

2. Write a MATLAB script to do the following

a. Create 10000 random variables uniformly distributed between 2 and 4.

b. Create a histogram to approximate the actual probability density function.

c. Superimpose the actual probability density function to the above histogram.

3. Write a MATLAB script to do the following

a. Create 10000 Gaussian random variables with m =2 and s = 3.

b. Create a histogram to approximate the actual probability density function.

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Create random variables uniformly distributed between 2 nd 4 : a. Create 10000 random variables uniformly distributed between 2 and 4. b. Create a histogram to approximate the actual probability density function. c. Superimpose the actual probability density function to the above histogram. |

Create 10000 gaussian random variables with m and s : Write a MATLAB script to determine the probability P[X+Y=7]. Use a "for" loop to run simulation fifty times with n = 10000. Plot the 100 estimated probability values along with the theoretical result of P[X+Y=7]. |

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