A fair six sided die can roll any number from 1 to 6 with equal likelihood.
On fair coin, consider heads to have value 2 and tails to have value 1.

Consider the two experiments:

Experiment A: First roll the die. The outcome tells you how many times to flip the coin. x=the total value of the coin tosses.

Experiment B: First flip the coin. The outcome tells you how many times to roll the die. y=the total value of the die rolls.

1. Prove that the probability distributions of x and y are not the same.
2. How do the means of x and y compare?
3. How do the standard deviations of x and y compare?

(In reply to re: some solutions, but not sure about standard deviations by Jer)

"In line 440 is (I-sum) really (x-mean)?"

Yes, as Sum is the variable printed out just prior as being the mean and shows its value as 5.25.

Posted by Charlie on 2011-05-06 17:33:19