An unbiased coin is tossed 400 times, then the probability that the number of heads will be between 150 and 250 is at least :
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JNU SIS 2020 Question 25: Sampling distributions and limit theorems
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Sampling distributions and limit theorems has come up 25 times in 7 exams since 2007.
What this question tests
This question is on The central limit theorem and probability inequalities, part of Sampling distributions and limit theorems in Statistics.
Why sample means are approximately normal, and bounds that hold for any distribution.
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