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A fair coin is tossed 100 times and the number of heads is recorded. If this experiment is repeated many times, the number of heads will form an approximately normal distribution with a mean of 50 and a standard deviation of 5. a . Within what limits should we expect the number of heads in 100 tosses to lie? b . What is the probability that heads will occur fewer than 45 times in 100 tosses? |
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