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Recent questions tagged probability-density-function
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GATE2019 CE-2: 26
The probability density function of a continuous random variable distributed uniformly between $x$ and $y$ (for $y>x$) is $\dfrac{1}{x-y}$ $\dfrac{1}{y-x}$ $x-y$ $y-x$
Arjun
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Probability and Statistics
Feb 12, 2019
by
Arjun
11.6k
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gate2019-ce-2
probability-and-statistics
probability
probability-density-function
random-variable
uniform-distribution
1
vote
0
answers
2
GATE2016-2-27
If $f(x)$ and $g(x)$ are two probability density functions, $f(x) = \begin{cases} \dfrac{x}{a}+1 & :-a \leq x < 0 \\ -\dfrac{x}{a}+1 & : 0 \leq x \leq a \\ 0 & :\text{otherwise} \end{cases}$ ... different; Variance of $f(x)$ and $g(x)$ are same Mean of $f(x)$ and $g(x)$ are different; Variance of $f(x)$ and $g(x)$ are different
Milicevic3306
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Probability and Statistics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
probability-and-statistics
probability
probability-density-function
variance
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0
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3
GATE2016-1-26
Probability density function of a random variable $X$ is given below $f(x) = \begin{cases} 0.25 & \text{ if } 1 \leq x \leq 5 \\ 0 & \text{ otherwise} \end{cases}$ $P(X \leq 4)$ is $\dfrac{3}{4} \\$ $\dfrac{1}{2} \\$ $\dfrac{1}{4} \\$ $\dfrac{1}{8}$
Milicevic3306
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in
Probability and Statistics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-1
probability-and-statistics
probability
probability-density-function
random-variable
0
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0
answers
4
GATE2017 CE-1: 26
For the function $f(x)=a+bx,0\leq x\leq1,$ to be a valid probability density function,which one of the following statements is correct? $a=1,b=4$ $b=0.5,b=1$ $a=0,b=1$ $a=1,b=-1$
Milicevic3306
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
5
GATE2015-2-26
The probability density function of a random variable, $x$ is $f(x)= \begin{cases} \dfrac{x}{4} ( 4-x^2) & \text{ for } 0 \leq x \leq 2 \\ 0 & \text{ otherwise} \end{cases}$ The mean $\mu _x$ of the random variable is ______.
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2015-ce-2
numerical-answers
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
6
GATE2014-2-5
If $\{x\}$ is a continuous, real valued random variable defined over the interval $(- \infty, + \infty)$ and its occurrence is defined by the density function given as: $f(x) = \dfrac{1}{\sqrt{2 \pi} *b} e^{-\frac{1}{2} (\frac{x-a}{b})^2}$ where $'a'$ and $b'$ are the statistical ... $1$ $0.5$ $\pi$ $\dfrac{\pi}{2}$
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-2
probability-and-statistics
probability
probability-density-function
random-variable
0
votes
0
answers
7
GATE2014-1-3
The probability density function of evaporation $E$ on any day during a year in a watershed is given by $f(E) = \begin{cases} \dfrac{1}{5} & 0 \leq E \leq 5\: \text{mm/day} \\ 0 & \text{otherwise} \end{cases}$ The probability that $E$ lies in between $2$ and $4$ mm/day in a day in the watershed is (in decimal) ____________
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-1
numerical-answers
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
8
GATE Civil 2013 | Question: 29
Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function _______ $f(x) = \begin{cases} \lambda (x-1)(2-x) & \text{for } 1 \leq x \leq 2 \\ 0 & \text{otherwise} \end{cases}$
Milicevic3306
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2013-ce
numerical-answers
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
9
GATE2018 CE-2: 2
The graph of a function $f(x)$ is shown in the figure. For $f(x)$ to be a valid probability density function, the value of $h$ is $1/3$ $2/3$ $1$ $3$
gatecse
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Probability and Statistics
Feb 17, 2018
by
gatecse
4.0k
points
gate2018-ce-2
probability-and-statistics
probability
probability-density-function
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