In this problem we are given a random variable $X$ of binomial with $n=119 ,p=0.5$. I have calculated $\mathbf{E}[X]=59.5$ and $\mathbf{Var}[X]=29.75$. Looking for $D$ in order to have $\Pr[|X-\mathbf{E}[X]| \ge D] = a$ and use that probability to find the least upper bound for $a$ by using Chebyshev's inequality.
2026-03-26 16:05:41.1774541141
Find the least upper bound of a binomial distribution
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