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Recent questions tagged cmi2021-datascience

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CMI-2021-DataScience-A: 11
The proportion of visitors to an e-commerce website in a week who would purchase a product follows the beta distribution with the probability density function ...
The proportion of visitors to an e-commerce website in a week who would purchase a product follows the beta distribution with the probability density function$$ f(x)=\fra...
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33
CMI-2021-DataScience-A: 13
For a non-zero real number $a$, the inverse of $J=\left(\begin{array}{ccc}a & 1 & 0 \\ 0 & a & 1 \\ 0 & 0 & a\end{array}\right)$ ...
For a non-zero real number $a$, the inverse of $J=\left(\begin{array}{ccc}a & 1 & 0 \\ 0 & a & 1 \\ 0 & 0 & a\end{array}\right)$ is$\left(\begin{array}{lll}a^{-1} & a^{-2...
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38
CMI-2021-DataScience-A: 18
Let $A_{11}, A_{12}, A_{21}, A_{22}, B_{11}, B_{12}, B_{21}, B_{22}$ be $n \times n$ matrices. Consider the $2n \times 2n$ matrices $A = \left[\begin{array}{cc}A_{11} & A_{12} \\ A_{21} & A_{22}\end{array}\right]$ ...
Let $A_{11}, A_{12}, A_{21}, A_{22}, B_{11}, B_{12}, B_{21}, B_{22}$ be $n \times n$ matrices. Consider the $2n \times 2n$ matrices $A = \left[\begin{array}{cc}A_{11} & A...
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39
CMI-2021-DataScience-A: 19
Consider right angled triangles with integer side lengths $a, b, c$ where $c$ is the hypotenuse. Call a right angled triangle special if $a$ and $b$ are odd integers. How many special right angled triangles exist? $23$ infinitely many $0$ $12$
Consider right angled triangles with integer side lengths $a, b, c$ where $c$ is the hypotenuse. Call a right angled triangle special if $a$ and $b$ are odd integers. How...
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