Random walk-test your intuition

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1. (Random Walk) Consider the drunkard's random walk example. Find the probability that the drunkard will be at least ten steps over on the right from his starting point after 200 steps. Compute a normal approximation.

2. (Random Walk). Consider again the drunkard's random walk ex- ample. Find the probability that more than 125 times in 200 steps the drunkard steps toward his right. Compute a normal approximation.

3. (Test Your Intuition). Suppose a fair coin is tossed 100 times. Is it more likely that you will get exactly 50 heads or that you will get more than 60 heads?

4. (Test Your Intuition). Suppose a fair die is rolled 60 times. Is it more likely that you will get at least 20 sixes or that you will score a total of at least 250?

Reference no: EM13985006

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