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2. Say you toss a fair coin 4 times. (Fair means that the probability of the coin turning up heads is 0.5). 4. How many

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2. Say you toss a fair coin 4 times. ("Fair" means that the probability of the coin turning up heads is 0.5). 4. How many different sequences of heads and tails can you have? h. Write out all of these different sequences of IT's and T's. c. How many of these sequences have a run of 3 or more heads or tails in a row? What is the probability that a random sequence of 4 tosses contains such a run? Say you toss a fair coin 10 times. Clearly the expected value of number of heads (or tails) is 5. What is the standard deviation? What is the probability that the number of beads will be less than one standard deviation away from the expected value? In other words. what is the probability of getting 4. 5. or 6 heads

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