(iii) Graduate homework/Undergraduate extra credit: In the lab we talked about the average number of coin tosses it takes to observe the patterns 010 and 011 for the first time. For example, if we toss the coin repeatedly with the following outcome, 001001001100111, then the pattern 010 first appears after toss number 4 and the pattern 011 first appears after toss number 10. In his TED talk, statistician Peter Donnelly claimed that it takes on average 8 tosses to observe pattern 011 for the first time, while it takes on average 10 tosses to observe the pattern 010 for the first time. Check this statement numerically by simulating sequences of coin tosses and noting the number of tosses it takes to observe pattern 011 and 010, respectively. In addition to computing the average number of tosses, also compute the standard deviation, and show the histograms for both patterns in one plot. Do the distributions look Gaussian