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Recent activity in Probability & Statistics
0
votes
1
answer
1
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
answered
Sep 13
in
Probability & Statistics
by
srestha
(
870
points)
gate2014ee2
stats
infer
+1
vote
1
answer
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 ________.
commented
Feb 15
in
Probability & Statistics
by
hina firdaus
(
100
points)
gate2014ee2
event
randomvariable
0
votes
0
answers
3
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?
recategorized
Feb 28, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2015ee1
charts
stats
0
votes
0
answers
4
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 $16$? $0.20$ $0.25$ $0.30$ $0.33$
recategorized
Feb 28, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2015ee1
samplespace
events
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 & \\ 0 & \end{cases}$ for $0 < x < 1$ otherwise If the expected value $E[x] = 2/3$, then $Pr[x < 0..5]$ is __________.
recategorized
Feb 28, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2015ee1
randomvariable
probabilitydensityfunction
0
votes
0
answers
6
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.
recategorized
Feb 28, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2015ee1
events
samplespace
0
votes
0
answers
7
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 $5/11$ $1/2$ $7/13$ $6/11$
recategorized
Feb 28, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2015ee1
events
population
0
votes
0
answers
8
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.
recategorized
Feb 28, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2015ee2
events
samplespace
0
votes
0
answers
9
GATE20141GA9
In a survey, $300$ respondents were asked whether they own a vehicle or not. If yes, they were further asked to mention whether they own a car or scooter or both. Their responses are tabulated below. What percent of respondents do not own a scooter?
retagged
Feb 16, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2014ee1
stats
logical
0
votes
0
answers
10
GATE2014127
A fair coin is tossed n times. The probability that the difference between the number of heads and tails is $(n3)$ is $2^{n}$ $0$ $n_{C_{n3}}2^{n}$ $2^{n+3}$
recategorized
Feb 16, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2014ee1
event
population
0
votes
0
answers
11
GATE2014227
Let $X$ be a random variable with probability density function $f(x)=\left\{\begin{matrix} 0.2,& forx\leq 1\\ 0.1,& for 1< x\leq 4\\ 0 & otherwise \end{matrix}\right.$ The probability $P(0.5<X<5)$ is ______.
recategorized
Feb 15, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2014ee2
randomvariable
probabilitydensityfunction
0
votes
0
answers
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 $2009?$
recategorized
Feb 15, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2014ee2
linegraph
stats
0
votes
0
answers
13
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. What is the average of the marks obtained by the class in the examination? $1.34$ $1.74$ $3.02$ $3.91$
recategorized
Feb 15, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2014ee3
mean
stats
0
votes
0
answers
14
GATE20143GA8
The Gross Domestic Product $(GDP)$ in Rupees grew at $7$% during $2012$$2013$.For international comparison, the $GDP$ is compared in $US$ Dollars $(USD)$ after conversion based on the market exchange rate. During the period $2012$$2013$ ... $USD$ during the period $2012$$2013$ increased by $5 $% decreased by $13$% decreased by $20$% decreased by $11$%
recategorized
Feb 15, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2014ee3
grossdomesticproduct
marketexchangerate
0
votes
0
answers
15
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 $2011$? $1:1$ $2:1$ $1.5:1$ $2.5:1$
recategorized
Feb 15, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2014ee3
graph
stats
0
votes
0
answers
16
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 ________.
recategorized
Feb 15, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2014ee3
randomvariable
probabilitydensityfunction
0
votes
0
answers
17
GATE201311
A continuous random variable $X$ has a probability density function $f(x)=e^{x}$, $0< x< \infty$. then P{X> $1$} $0.368$ $0.5$ $0.632$ $1.0$
edited
Feb 13, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2013ee
randomvariable
probabilitydensityfunction
0
votes
0
answers
18
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 $2, \frac{1}{2}$ $4, \frac{1}{2}$ $2, \frac{1}{4}$ $4, \frac{1}{4}$
recategorized
Feb 9, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2016ee2
randomvariable
probabilitydensity
unitstepfunction
0
votes
0
answers
19
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 ____.
recategorized
Feb 8, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2016ee2
collection
interpretation
standardizedtesting
0
votes
0
answers
20
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? $0.2508$ $0.2816$ $0.2934$ $0.6000$
recategorized
Feb 8, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2016ee2
probabilityspace
conditionalprobability
randomvariable
0
votes
0
answers
21
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 _________.
recategorized
Feb 8, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2016ee1
randomvariable
event
mean
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