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Recent questions tagged random-variables
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GATE Mechanical 2021 Set 1 | Question: 5
Consider a binomial random variable $\text{X}$. If $X_{1},X_{2},\dots ,X_{n}$ are independent and identically distributed samples from the distribution of $\text{X}$ with sum $Y=\sum_{i=1}^{n}X_{i}$, then the distribution of $\text{Y}$ as $n\rightarrow \infty$ can be approximated as Exponential Bernoulli Binomial Normal
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Probability and Statistics
Feb 22, 2021
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gatecse
1.6k
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gateme-2021-set1
probability-and-statistics
probability
random-variables
normal-distribution
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0
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GATE2020-ME-1: 35
Consider two exponentially distributed random variables $\text{X and Y}$, both having a mean of $0.50$. Let $Z=X+Y$ and $r$ be the correlation between $\text{X and Y}$.If the variance of $Z$ equals $0$, then the value of $r$ is __________ (roundoff to $2$ decimal places).
go_editor
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Engineering Mathematics
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
engineering-mathematics
differential-equation
random-variables
1
answer
0
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GATE2018-2-27
Let $X_1$ and $X_2$ be two independent exponentially distributed random variables with means $0.5$ and $0.25$, respectively. Then $Y=\text{min}(X_1, X_2)$ is exponentially distributed with mean $1/6$ exponentially distributed with mean $2$ normally distributed with mean $3/4$ normally distributed with mean $1/6$
Arjun
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in
Probability and Statistics
Feb 17, 2018
by
Arjun
27.5k
points
gateme-2018-set2
probability-and-statistics
probability
random-variables
exponential-distributions
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answers
0
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GATE2018-1-26
Let $X_1, \: X_2$ be two independent normal random variables with means $\mu_1, \: \ \mu_2$ and standard deviations $\sigma_1, \: \sigma_2$, respectively. Consider $Y=X_1-X_2; \: \mu_1 = \mu_2 =1, \: \sigma_1=1, \: \sigma_2=2$. Then, $Y$ is normally ... $0$ and variance $5$, but is NOT normally distributed $Y$ has mean $0$ and variance $1$, but is NOT normally distributed
Arjun
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in
Probability and Statistics
Feb 17, 2018
by
Arjun
27.5k
points
gateme-2018-set1
probability-and-statistics
probability
random-variables
mode-and-standard-deviation
1
answer
0
votes
GATE Mechanical 2014 Set 1 | Question: 28
In the following table, $x$ is a discrete random variable and $p(x)$ is the probability density. The standard deviation of $x$ is $\begin{array}{|c|c|c|c|} \hline x & 1 & 2 & 3 \\ \hline p(x) & 0.3 & 0.6 & 0.1 \\ \hline \end{array}$ $0.18$ $0.36$ $0.54$ $0.60$
Arjun
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Probability and Statistics
Feb 19, 2017
by
Arjun
27.5k
points
gateme-2014-set1
probability-and-statistics
probability
random-variables
mode-and-standard-deviation
0
answers
0
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GATE ME 2013 | Question: 24
Let $X$ be a normal random variable with mean $1$ and variance $4$. The probability $P \left \{ X \right.<\left. 0 \right \}$ is $0.5$ greater than zero and less than $0.5$ greater than $0.5$ and less than $1.0$ $1.0$
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Probability and Statistics
Feb 19, 2017
by
piyag476
1.4k
points
gateme-2013
probability-and-statistics
probability
random-variables
variance
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