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CMI-2022-DataScience-A: 11

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admin asked Jul 23, 2022
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CMI-2022-DataScience-A: 1
Let $X$ be a $\operatorname{Binomial}(n, p)$ random variable with the probability mass function $ \mathbb{P}(X=k)=\left(\begin{array}{l} n \\ k \end{array}\right) p^{k}(1-p)^{n-k}, \quad k=0,1,2, \ldots, n . $ Let $T$ ... $\mathbb{E}\left(T^{2}\right)=n p(1-p)^{n-1}$ $\mathbb{E}(T)=p$ and $\mathbb{V}(T)=p(1-p)$
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admin asked Jul 23, 2022
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Consider the following code, in which $\textsf{A}$ is an array indexed from $\textsf{0}$ and $\textsf{n}$ is the number of elements in $\textsf{A}$. function foo (A, n) { L = 0; R = n - 1; while (L <= R) { i = ceil ((L + R) / 2); if (A [i] , i) { L = i + 1 ; } ... $\textsf{foo (A, 10)}$ return? $ - 5$ $ - 1$ $4$ $6$
Consider the following code, in which $\textsf{A}$ is an array indexed from $\textsf{0}$ and $\textsf{n}$ is the number of elements in $\textsf{A}$.function foo (A, n) { ...
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CMI-2022-DataScience-A: 3
Which of the following statements is/are true? For any real number $r$ with $|r|>1, \displaystyle{}\lim _{n \rightarrow \infty} \sum_{i=1}^{n} 17 r^{n}=\frac{17}{1-r}$. Let $i$ be the positive square root of $-1$ and let $x$ be any real number ... is a probability density function.
Which of the following statements is/are true?For any real number $r$ with $|r|>1, \displaystyle{}\lim _{n \rightarrow \infty} \sum_{i=1}^{n} 17 r^{n}=\frac{17}{1-r}$.Let...
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