Please answer completely and correctly with steps for both part A & B & C for a thumbs up. This chapter is about design & uncertainty.

Problem-Solving ExERCISE \#1 DESIGN AND UNCERTAINTY PART A Roll a single standard six-sided die 36 times and tabulate your results (i.e., number of l's, number of 2's, .., number of 6's). Calculate the mean, variance and standard deviation of your data. PART B Roll a pair of standard six-sided dice 36 times and tabulate your results (i.e., number of 2's, number of 3 's, ..., number of 12 's). Calculate the mean, variance and standard deviation of your data. PART C Suppose you have a pair of six-sided dice where each die contains the following sides: (1,1,2,3,6,6). In theory, if you rolled this pair of dice 36 times, how many times would you obtain a total of 2,3,4,5,6,7,8,9 and 12 ? Using graph paper, plot the distribution of expected values. Calculate the mean, variance, and standard deviation of this distribution