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Recent questions tagged probability-density-function
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1
GATE Electrical 2021 | GA Question: 8
Let $X$ be a continuous random variable denoting the temperature measured. The range of temperature is $[0, 100]$ degree Celsius and let the probability density function of $X$ be $f\left ( x \right )=0.01$ for $0\leq X\leq 100$. The mean of $X$ is __________ $2.5$ $5.0$ $25.0$ $50.0$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
9.3k
points
gateee-2021
numerical-ability
probability
probability-density-function
expectation
0
votes
0
answers
2
GATE Electrical 2013 | Question: 11
A continuous random variable $X$ has a probability density function $f(x)=e^{-x}, 0< x< \infty$. then $P\{X> 1\}$ $0.368$ $0.5$ $0.632$ $1.0$
piyag476
asked
in
Probability & Statistics
Feb 12, 2017
by
piyag476
1.5k
points
gate2013-ee
probability-and-statistics
probability
random-variable
probability-density-function
0
votes
0
answers
3
GATE Electrical 2014 Set 3 | Question: 4
Lifetime of an electric bulb is a random variable with density $f(x)=kx^2$ , where $x$ is measured in years. If the minimum and maximum lifetimes of bulb are $1$ and $2$ years respectively, then the value of $k$ is ________.
makhdoom ghaya
asked
in
Probability & Statistics
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2014-ee-3
probability-and-statistics
probability
random-variable
probability-density-function
numerical-answers
0
votes
0
answers
4
GATE Electrical 2014 Set 2 | Question: 27
Let $X$ be a random variable with probability density function $f(x)=\begin{cases} 0.2,& \text{for } \mid x \mid \leq 1\\ 0.1,& \text{for }1< \mid x \mid \leq 4\\ 0 & \text{otherwise } \end{cases} \\$ The probability $P(0.5 < X < 5)$ is ______.
makhdoom ghaya
asked
in
Probability & Statistics
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2014-ee-2
probability-and-statistics
probability
random-variable
probability-density-function
numerical-answers
0
votes
0
answers
5
GATE Electrical 2015 Set 1 | Question: 1
A random variable $X$ has probability density function $f(x)$ as given below: $ f(x)= \begin{cases} a+bx & \text{ for } 0 < x < 1 \\ 0 & \text{otherwise} \end{cases}$ If the expected value $E[x] = 2/3$, then $Pr[x < 0.5]$ is __________.
makhdoom ghaya
asked
in
Probability & Statistics
Feb 12, 2017
by
makhdoom ghaya
9.3k
points
gate2015-ee-1
probability-and-statistics
probability
random-variable
probability-density-function
expectation
numerical-answers
0
votes
0
answers
6
GATE Electrical 2016 Set 2 | Question: 33
Let the probability density function of a random variable, $X$, be given as: $f_{x}(x)=\frac{3}{2}e^{-3x}u(x)+ae^{4x}u(-x)$ where u(x) is the unit step function. Then the value of 'a' and prob $\left\{X \leq 0\right\}$, respectively are $2, \frac{1}{2}$ $4, \frac{1}{2}$ $2, \frac{1}{4}$ $4, \frac{1}{4}$
makhdoom ghaya
asked
in
Probability & Statistics
Jan 30, 2017
by
makhdoom ghaya
9.3k
points
gate2016-ee-2
probability-and-statistics
probability
random-variable
probability-density-function
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