Question: (a) Which is larger: (b) For a fixed n, consider (n k) as a function of k. Figure out for which k it is increasing

(a) Which is larger:

(b) For a fixed n, consider (n k) as a function of k. Figure out for which k it is increasing and for which it is decreasing. Where does it attain its maximal value for an even n, for an odd n? In what sense is the picture symmetric? (Advice: Compare the values for k and k + 1.)

(c) If you toss a coin 100 times, which is more likely: getting 50 heads or 49 heads; 50 heads or 51 heads; 49 heads or 51 heads; 41 heads or 59 tails?

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a The inequality 100 1900 is equivalent to 5050 4951 or 50 51 50 b The inequa... View full answer

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