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Let S = \{ 1, 2, 3, \ldots 12\} and T_1, T_2, \ldots T_a be subsets of S such that T_i \not \subset T_j \, \forall i \neq j .
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The vertices of a regular 10-gon are labeled V_1, V_2, \ldots V_n, which is a permutation of \{ 1, 2, \ldots, 10\}. Define a
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Let \theta \sim \pi (\theta ) be a parameter supported on \mathbb {Z}, the integers. Suppose that we observe random variablesY_
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Consider a model involving multiple observations of the form X_ i=c_ i\Theta +W_ i, i=1,2,\ldots ,n, where \Theta ,W_1,\ldots
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Recall the statistical set-up above. Recall that X_1, \ldots , X_ n \stackrel{iid}{\sim } \mathbf{P} are iid from an unknown
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Let (\{ 0, \ldots , K\} , \{ \text {Bin}(K, \theta ) \} _{\theta \in (0,1)}) denote a binomial statistical model. Let X_1,
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<p>What is the remainder when \(5\times 55\times 555 \times \ldots \times \underbrace{555\ldots 55}_{555 5's}\) is divided by
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2. asked by Hale
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Determine the number of subsets of A=\{1, 2, \ldots, 10\} whose sum of elements are greater than or equal to 28 .
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2. asked by Dan
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As in the video above, let R_1,\ldots ,R_ n\stackrel{iid}{\sim } \textsf{Ber}(p) for some unknown parameter p. We estimate p
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Consider the case of a binary parameter \theta \in \{ 0, 1\}. We have the prior distribution \pi (\theta ) that satisfies \pi
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