Write the MATLAB code to generate a random number between 1 and 3 using the randi function. You can find more information about Randi at http://www.mathworks.com/help/matlab/ref/randi.html.

2) Consider the Monty Hall problem (Those not familiar can find it here: http://en.wikipedia.org/wiki/Monty_Hall_problem or watch the following video until 1:07 http://www.youtube.com/watch?v=mhlc7peGlGg ).

a) Write the pseudo-code to ask the user which door they would like to initially choose. Also write the code to pick the winning door at random (Hint: store these in variables named initial_choice and winning_door).

b) Based on your solution to part A, Write the pseudo-code to determine which door is revealed to the user as a goat. Store the revealed door number in a variable named revealed_door.

c) Write the pseudo-code for the final decision to ask if the user wants to change doors, and then reveal whether or not they won a car or a goat. Store their response in a variable named change_door. You can expect the user’s responsibility to be a ‘y’ for yes, and an ‘n’ for no. Determining whether they win or lose will depend on the initial_choice, winning_door and change_door values.

Note: MATLAB syntax for excluding elements of a list is as follows:

x = [5, 4, 3, 2, 1]

y = x(x~=4)

Where the variable y is now equal to [5, 3, 2, 1].