A fair coin is flipped 100 times, and let X be the number of heads resulting. Find P[45 ≤ X ≤ 60].
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Step 1: Calculate the probability of getting between 45 and 60 heads in 100 coin flips. Show more…
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Let X represent the difference between the number of heads and the number of tails when a coin is tossed 45 times. Then P(X = 5) =
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If a coin is tossed 100 times, we would expect approximately 50 of the outcomes to be heads. It can be demonstrated that a coin is unfair if $h,$ the number of outcomes that result in heads, satisfies $\left|\frac{h-50}{5}\right| \geq 1.645 .$ Describe the number of outcomes that result in heads that determine an unfair coin that is tossed 100 times.
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