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A fair coin is tossed 10001000 times. Use CLT to compute the probability that head appears at most 540540 times. Enter the answer correct to 2 decimal places.

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A fair coin is tossed 10001000 times. Use CLT to compute the probability that head appears at most 540540 times. Enter the answer correct to 2 decimal places.
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Solution 1

The Central Limit Theorem (CLT) states that the sum of a large number of independent and identically distributed random variables will be approximately normally distributed.

In this case, we have a fair coin, so the probability of getting a head (p) is 0.5. The number of trials (n) is 1000.

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