Please use MatLab to do the following questions:

1. Plot pdf and cdf for geometric distribution, with N=100 and three different values of p: 0.3, 0.5 and 0.7. Save the figures as .jpg files. Hint: use functions geopdf and geocdf in MATLAB.

2. You have three dice. Each die has equal probability 1/6 to land on numbers 1,..,6. You roll the dice and record the sum of the three numbers you obtain.

If the sum is 3 or 18, you win the game. You always play this game until you win. Let Y denote the number of trials it took you to win (rolling 3 dice is a trial). After 1000 victories you have a vector of 1000 Y values. Plot the histogram of the obtained Y values.

Add graphical parameters to your plot and save it as a .jpg file. Compare your histogram with the pdf plot obtained in the previous problem.