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(2) Solve the following problems about WLLN (Weak Law of Large Number). (a) [1pt] Explain the meaning of WLLN. (This is not a problem about

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(2) Solve the following problems about WLLN (Weak Law of Large Number). (a) [1pt] Explain the meaning of WLLN. (This is not a problem about writing down the formal statement of WLLN.) (b) [2pts] Suppose a coin is tossed repeatedly. Without any calculation other than obvious conversions between counts and percents, say which (if any) of the following chances is bigger. Explain your answer. (1) the chance of getting between 40 and 60 heads (that is, 40 through 60) in 100 tosses (2) the chance of getting between 400 and 600 heads in 1,000 tosses (c) [2pts] Suppose you have a fair coin, and you will going to toss this coin 100,000 times. Also, you need to guess the proportion of the number of heads among your 100,000 tosses, even before you do your rst toss. What is the best guess that you can have? Why

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