Suppose you are going to roll a fair six sided die 30 times and record p(hat) the proportion of times that a 1 or a 2 is showing. 1.) where should the distribution of the 30 p(hat) values be centered? 2.) what is the standard deviation of the sampling distribution of p(hat) the proportion of all rolls of the die that show a 1 or a 2? 3.) describe the shape of the sampling distribution of p(hat).