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Recent questions tagged probability-density-function
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GATE ECE 2020 | Question: 54
$X$ is a random variable with uniform probability density function in the interval $[-2,\:10]$. For $Y=2X-6$, the conditional probability $P\left ( Y\leq 7\mid X\geq 5 \right )$ (rounded off to three decimal places) is __________.
go_editor
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Probability and Statistics
Feb 13, 2020
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go_editor
1.9k
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79
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gate2020-ec
numerical-answers
probability-and-statistics
probability
probability-density-function
uniform-distribution
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GATE ECE 2016 Set 2 | Question: 28
Two random variables $X$ and $Y$ are distributed according to $f_{X,Y}(x,y)=\begin{cases} (x+y),& 0\leq x\leq 1,&0\leq y\leq 1\\ 0, & \text{otherwise.} \end{cases}$ The probability $P(X+Y\leq 1)$ is ________
Milicevic3306
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Probability and Statistics
Mar 28, 2018
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Milicevic3306
15.8k
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99
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gate2016-ec-2
numerical-answers
probability-and-statistics
probability
probability-density-function
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3
GATE ECE 2015 Set 1 | Question: 52
A source emits bit $0$ with probability $\frac{1}{3}$ and bit $1$ with probability $\frac{2}{3}$. The emitted bits are communicated to the receiver. The receiver decides for either $0$ or $1$ based on the received value $R$. It is given that the ... $0$ $1/12$ $1/9$ $1/6$
Milicevic3306
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Probability and Statistics
Mar 28, 2018
by
Milicevic3306
15.8k
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75
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gate2015-ec-1
probability-and-statistics
probability
probability-density-function
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GATE ECE 2014 Set 2 | Question: 49
The input to a $1$ – bit quantizer is a random variable $X$ with pdf $f_{X}( x )= 2e^{-2x}$ for $x\geq 0$ and $f_{X} (x )= 0$ for $x< 0$. For outputs to be of equal probability, the quantizer threshold should be ______.
Milicevic3306
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
15.8k
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54
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gate2014-ec-2
numerical-answers
probability-and-statistics
probability
probability-density-function
random-variable
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5
GATE ECE 2018 | Question: 17
A binary source generates symbols $X\in \left \{ -1,1 \right \}$ which are transmitted over a noisy channel.The probability of transmitting $X=1$ is $0.5.$ Input to the threshold detector is $R=X+N$ ... is shown below. If the detection threshold is zero, then the probability of error (correct to two decimal places) is __________.
gatecse
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Communications
Feb 19, 2018
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gatecse
1.5k
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62
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gate2018-ec
numerical-answers
probability-density-function
communications
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