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Recent questions tagged randomvariable
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1
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
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2013ee
randomvariable
probabilitydensityfunction
0
votes
0
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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 ________.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2014ee3
randomvariable
probabilitydensityfunction
numericalanswers
0
votes
0
answers
3
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 ______.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
randomvariable
probabilitydensityfunction
numericalanswers
+1
vote
1
answer
4
GATE201422
Consider a dice with the property that the probability of a face with $n$ dots showing up is proportional to $n$. The probability of the face with three dots showing up is ________.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2014ee2
event
randomvariable
numericalanswers
0
votes
0
answers
5
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 __________.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2015ee1
randomvariable
probabilitydensityfunction
numericalanswers
0
votes
0
answers
6
GATE2016233
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 $2, \frac{1}{2}$ $4, \frac{1}{2}$ $2, \frac{1}{4}$ $4, \frac{1}{4}$
asked
Jan 30, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
randomvariable
probabilitydensity
unitstepfunction
0
votes
0
answers
7
GATE20162GA9
Shaquille 'O' Neal is a $60$% career free throw shooter, meaning that he successfully makes $60$ free throws out of $100$ attempts on average. What is the probability that he will successfully make exactly $6$ free throws in $10$ attempts? $0.2508$ $0.2816$ $0.2934$ $0.6000$
asked
Jan 30, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee2
probabilityspace
conditionalprobability
randomvariable
0
votes
0
answers
8
GATE2016126
Candidates were asked to come to an interview with $3$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all $3$ pens having the same colour is _________.
asked
Jan 30, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.2k
points)
gate2016ee1
randomvariable
event
mean
numericalanswers
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