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Hot questions in Probability & Statistics
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GATE20142GA6
The old city of Koenigsberg, which had a German majority population before World War $2$, is now called Kaliningrad. After the events of the war, Kaliningrad is now a Russian territory and has a predominantly Russian population. It is bordered by the ... Kaliningrad, as that was its original Russian name Poland and Lithuania are on the route from Kaliningrad to the rest of Russia
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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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gate2014ee2
stats
infer
+1
vote
1
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2
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 ________.
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Feb 12, 2017
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Probability & Statistics
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makhdoom ghaya
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gate2014ee2
event
randomvariable
numericalanswers
0
votes
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3
GATE2015129
Two players, $A$ and $B$, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player $A$ starts the game, the probability that $A$ wins the game is $5/11$ $1/2$ $7/13$ $6/11$
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Feb 12, 2017
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Probability & Statistics
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makhdoom ghaya
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gate2015ee1
events
population
+1
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0
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4
GATE2014127
A fair coin is tossed $n$ times. The probability that the difference between the number of heads and tails is $(n3)$ is $2^{n}$ $0$ $^{n}C_{n3}2^{n}$ $2^{n+3}$
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Feb 12, 2017
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Probability & Statistics
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makhdoom ghaya
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gate2014ee1
probability
coins
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0
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5
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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0
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6
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
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makhdoom ghaya
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gate2014ee2
randomvariable
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GATE2015227
Two coins $R$ and $S$ are tossed. The $4$ joint events $H_{R}H_{S}, T_{R}T_{S}, H_{R}T_{S}, T_{R}H_{S}$ have probabilities $0.28, 0.18, 0.30, 0.24$, respectively, where $H$ represents head and $T$ represents tail. Which one of the following is TRUE? The coin tosses are independent. R is fair, S is not. S is fair, R is not. The coin tosses are dependent.
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Probability & Statistics
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makhdoom ghaya
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gate2015ee2
events
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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
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Probability & Statistics
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gate2015ee1
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GATE201311
A continuous random variable $X$ has a probability density function $f(x)=e^{x}, 0< x< \infty$. then $P\{X> 1\}$ $0.368$ $0.5$ $0.632$ $1.0$
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Feb 12, 2017
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Probability & Statistics
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piyag476
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1.5k
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gate2013ee
randomvariable
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GATE20151GA8
The piechart below has the breakup of the number of students from different departments in an engineering college for the year $2012$. The proportion of male to female students in each department is $5:4$. There are $40$ males in ... What is the difference between the numbers of female students in the Civil department and the female students in the Mechanical department?
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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
points)
gate2015ee1
charts
stats
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0
votes
0
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11
GATE20143GA5
The table below has questionwise data on the performance of students in an examination. The marks for each question are also listed. There is no negative or partial marking in the examination. ... $1.34$ $1.74$ $3.02$ $3.91$
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Feb 12, 2017
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Probability & Statistics
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makhdoom ghaya
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gate2014ee3
mean
stats
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0
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12
GATE20142GA9
The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students doubled in $2009$, by what percent did the number of male students increase in $2009?$
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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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gate2014ee2
linegraph
stats
numericalanswers
0
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13
GATE20143GA9
The ratio of male to female students in a college for five years is plotted in the following line graph If the number of female students in $2011$ and $2012$ is equal, what is the ratio of male students in $2012$ to male students in $2011$? $1:1$ $2:1$ $1.5:1$ $2.5:1$
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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
graph
stats
0
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0
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GATE20151GA9
The probabilities that a student passes in Mathematics, Physics, and Chemistry are $m, p,$ and $c$ respectively. Of these subjects, the student has $75$% chance of passing in at least one, a $50$% chance of passing in at least two and a $40$% chance of passing in ... $I$ is true. Only relation $II$ is true. Relations $II$ and $III$ are true. Relations $I$ and $III$ are true.
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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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gate2015ee1
events
samplespace
0
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0
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15
GATE20151GA5
Given set $A=\left\{ 2, 3, 4, 5\right\}$ and set $B=\left\{ 11, 12, 13, 14, 15\right\}$, two numbers are randomly selected, one from each set. What is the probability that the sum of two numbers equal $16$? $0.20$ $0.25$ $0.30$ $0.33$
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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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gate2015ee1
samplespace
events
0
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0
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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 _________.
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Jan 30, 2017
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Probability & Statistics
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makhdoom ghaya
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9.3k
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gate2016ee1
randomvariable
event
mean
numericalanswers
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GATE20162GA6
The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual production of cement to ... is called a small plant. The difference between total production of large plants and small plants, in tonnes is ____.
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Jan 30, 2017
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Probability & Statistics
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makhdoom ghaya
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9.3k
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gate2016ee2
collection
interpretation
standardizedtesting
numericalanswers
0
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0
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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? $0.2508$ $0.2816$ $0.2934$ $0.6000$
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Jan 30, 2017
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Probability & Statistics
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9.3k
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gate2016ee2
probabilityspace
conditionalprobability
randomvariable
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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 $2, \frac{1}{2}$ $4, \frac{1}{2}$ $2, \frac{1}{4}$ $4, \frac{1}{4}$
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Jan 30, 2017
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gate2016ee2
randomvariable
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