Probstat/week13 practice 1

This is part of probstat

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1. We toss a fair coin 100 times. Let random variable

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$X$ be the number of heads.

• Find the minimum value $T$ such that $P\{|X-50|>T\}\leq 0.01$.
• Find the minimum value $T$ such that $P\{X>50+T\}\leq 0.01$.