You ask your graduate student to roll a die 5000 times and record the results.

a) give the expected mean and standard deviation of the outcome.

b) the die roll experiment is repeated (though with a different graduate student – for some reason your previous student went to work with a different advisor). however in this case, the die is weighted so that a 6 shows up 11% of the time, a 1 shows up 25% of the time, and all remaining numbers show up 16% (each). now what is the expected mean and sd of 5000 rolls?

c) what would happen if we changed the experiment to 10,000 rolls?