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Recent questions tagged probabilitydensityfunction
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GATE201311
A continuous random variable $X$ has a probability density function $f(x)=e^{x}, 0< x< \infty$. then $P\{X> 1\}$ $0.368$ $0.5$ $0.632$ $1.0$
asked
Feb 12, 2017
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Probability & Statistics
by
piyag476
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1.5k
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gate2013ee
randomvariable
probabilitydensityfunction
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2
GATE201434
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 ________.
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Feb 12, 2017
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Probability & Statistics
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makhdoom ghaya
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9.3k
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gate2014ee3
randomvariable
probabilitydensityfunction
numericalanswers
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GATE2014227
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 ______.
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Feb 12, 2017
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Probability & Statistics
by
makhdoom ghaya
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9.3k
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gate2014ee2
randomvariable
probabilitydensityfunction
numericalanswers
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0
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4
GATE201511
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 __________.
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Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
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9.3k
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gate2015ee1
randomvariable
probabilitydensityfunction
numericalanswers
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