Comparing Independent Random Flips: Normal vs. Binomial Distribution

candyduz
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Which of the following is more likely to be generated using independent random flips? Explain.


table.jpg


Pls help! Thanks!
 
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What have you tried?

Where are you stuck?
 
I was wondering if it's something to do with normal distribution or central limit theorem but honestly, I have no idea at all on how to solve this question
 
I tried to approximate normal to binomial and out of groups of 20 flips, for the first set, I got 10, 6, 9, 8, 8, 11, 11, 10, 9, 11 "0"s and for the second set, I got 12, 9, 9, 9, 10, 12, 10, 12, 11, 11 "0"s.

Am I on the right track?
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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