4. Assume a bin with infinitely many marbles as discussed in class. 1. Suppose that the probability of drawing a red marble is $\mu = 0.95$. What is the probability that the a sample of 10 marbles have $v \le 0.1$? Note that the answer could be a very small number. 2. If $\mu = 0.95$, use the Hoeffding Inequality to bound the probability that a sample of 10 marbles will have $v \le 0.1$ and compare the answer Problem 4.1.
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We are given that the probability of drawing a red marble is $\mu = 0.95$. We want to find the probability that a sample of 10 marbles has $v \le 0.1$, where $v$ is the fraction of red marbles in the sample. This means that at most 1 marble out of 10 is red. Let Show more…
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