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1
GATE Civil 2021 Set 2  GA Question: 3
Two identical cube shaped dice each with faces numbered $1$ to $6$ are rolled simultaneously. The probability that an even number is rolled out on each dice is: $\frac{1}{36}$ $\frac{1}{12}$ $\frac{1}{8}$ $\frac{1}{4}$
asked
Mar 1
in
Numerical Ability
by
jothee
(
5.2k
points)
gatecivil2021set2
numericalability
probability
independentevents
0
votes
0
answers
2
GATE2020CE118
The probability that a $50$ year flood may $\textbf{NOT}$ occur at all during $25$ years life of a project (round off to two decimal places), is _______.
asked
Feb 28, 2020
in
Probability and Statistics
by
jothee
(
5.2k
points)
gate2020ce1
probabilityandstatistics
probability
numericalanswers
0
votes
0
answers
3
GATE2020 CE218
A fair (unbiased) coin is tossed $15$ times. The probability of getting exactly $8$ Heads (round off to three decimal places), is _______.
asked
Feb 13, 2020
in
Probability and Statistics
by
jothee
(
5.2k
points)
gate2020ce2
numericalanswers
probabilityandstatistics
probability
0
votes
0
answers
4
GATE2017 CE220
A twofaced fair coin has its faces designated as head (H) and tail (T). This coin is tossed three times in succession to record the following outcomes: H, H, H. If the coin is tossed one more time, the probability (up to one decimal place) of obtaining H again, given the previous realizations of H, H and H, would be ________
asked
Aug 7, 2019
in
Probability and Statistics
by
gatecse
(
4k
points)
gate2017ce2
numericalanswers
probabilityandstatistics
probability
conditionalprobability
0
votes
0
answers
5
GATE Civil 2017 Set 2  GA Question: 5
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is $\dfrac{1}{9} \\$ $\dfrac{2}{9} \\$ $\dfrac{1}{3} \\$ $\dfrac{4}{9}$
asked
May 18, 2019
in
Numerical Ability
by
Lakshman Patel RJIT
(
10.7k
points)
gate2017ce2
numericalability
probability
0
votes
0
answers
6
GATE2019 CE1: 23
The probability that the annual maximum flood discharge will exceed $25000 \: m^3/s$, at least once in next $5$ years is found to be $0.25$. The return period of this flood event (in years, round off to $1$ decimal place is __________
asked
Feb 14, 2019
in
Probability and Statistics
by
Arjun
(
8.7k
points)
gate2019ce1
numericalanswers
probabilityandstatistics
probability
conditionalprobability
0
votes
0
answers
7
GATE2019 CE2: 26
The probability density function of a continuous random variable distributed uniformly between $x$ and $y$ (for $y>x$) is $\dfrac{1}{xy}$ $\dfrac{1}{yx}$ $xy$ $yx$
asked
Feb 12, 2019
in
Probability and Statistics
by
Arjun
(
8.7k
points)
gate2019ce2
probabilityandstatistics
probability
probabilitydensityfunction
randomvariable
uniformdistribution
0
votes
0
answers
8
GATE201624
$X$ and $Y$ are two random independent events. It is known that $P(X)=0.40$ and $P(X \cup Y^C)=0.7$. Which one of the following is the value of $P(X \cup Y)$? $0.7$ $0.5$ $0.4$ $0.3$
asked
Mar 28, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2016ce2
probabilityandstatistics
probability
independentevents
+1
vote
0
answers
9
GATE2016227
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
asked
Mar 28, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2016ce2
probabilityandstatistics
probability
probabilitydensityfunction
variance
0
votes
0
answers
10
GATE2016126
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 $\dfrac{3}{4} \\$ $\dfrac{1}{2} \\$ $\dfrac{1}{4} \\$ $\dfrac{1}{8}$
asked
Mar 28, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2016ce1
probabilityandstatistics
probability
probabilitydensityfunction
randomvariable
0
votes
0
answers
11
GATE2017 CE1: 2
The number of parameters in the univariate exponential and Gaussian distributions, repsectively, are $2$ and $2$ $1$ and $2$ $2$ and $1$ $1$ and $1$
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2017ce1
probabilityandstatistics
probability
gaussiandistributions
0
votes
0
answers
12
GATE2017 CE1: 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? $a=1,b=4$ $b=0.5,b=1$ $a=0,b=1$ $a=1,b=1$
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2017ce1
probabilityandstatistics
probability
probabilitydensityfunction
0
votes
0
answers
13
GATE Civil 2015 Set 2  GA Question: 5
Four cards are randomly selected from a pack of $52$ cards. If the first two cards are kings, what is the probability that the third card is a king? $\dfrac{4}{52} \\$ $\dfrac{2}{50} \\$ $\left ( \dfrac{1}{52}\right )\times\left ( \dfrac{1}{52}\right ) \\$ $\left ( \dfrac{1}{52}\right )\times\left ( \dfrac{1}{51}\right )\times\left ( \dfrac{1}{50}\right )$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
11.9k
points)
gate2015ce2
numericalability
probability
0
votes
0
answers
14
GATE2015226
The probability density function of a random variable, $x$ is $f(x)= \begin{cases} \dfrac{x}{4} ( 4x^2) & \text{ for } 0 \leq x \leq 2 \\ 0 & \text{ otherwise} \end{cases}$ The mean $\mu _x$ of the random variable is ______.
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2015ce2
numericalanswers
probabilityandstatistics
probability
probabilitydensityfunction
0
votes
0
answers
15
GATE201513
Consider the following probability mass function (p.m.f) of a random variable $X:$ $p(x,q) = \begin{cases} q & \text{ if } X=0 \\ 1 – q & \text{ if } X=1 \\ 0 & \text{otherwise} \end{cases} $ If $q=0.4$, the variance of $X$ is _________
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2015ce1
numericalanswers
probabilityandstatistics
probability
probabilitymassfunction
randomvariable
0
votes
0
answers
16
GATE Civil 2014 Set 2  GA Question: 10
$10\%$ of the population in a town is $HIV^{+}$. A new diagnostic kit for HIV detection is available, this kit correctly identifies $HIV^{+}$ individuals $95\%$ of the time, and $HIV^{}$ individuals $89\%$ ... time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is________
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
11.9k
points)
gate2014ce2
numericalanswers
numericalability
probability
0
votes
0
answers
17
GATE Civil 2014 Set 2  GA Question: 4
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04.$ The average time between successive occurrences of such earthquakes is ________ years.
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
(
11.9k
points)
gate2014ce2
numericalanswers
numericalability
probability
0
votes
0
answers
18
GATE2014227
An observer counts $240$ veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poisson distributed, the probability of having one having vehicle arriving over a $30$second time interval is _________
asked
Mar 26, 2018
in
Highway Pavements
by
Milicevic3306
(
11.9k
points)
gate2014ce2
numericalanswers
highwaypavements
transportationengineering
poissondistributed
probability
0
votes
0
answers
19
GATE201425
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: $f(x) = \dfrac{1}{\sqrt{2 \pi} *b} e^{\frac{1}{2} (\frac{xa}{b})^2}$ where $'a'$ and $b'$ are the statistical ... $1$ $0.5$ $\pi$ $\dfrac{\pi}{2}$
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2014ce2
probabilityandstatistics
probability
probabilitydensityfunction
randomvariable
0
votes
0
answers
20
GATE201421
A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: (i) Head, (ii) Head, (iii) Head, (iv) Head. The probability of obtaining a ‘Tail’ when the coin is tossed again is $0$ $\dfrac{1}{2} \\$ $\dfrac{4}{5} \\$ $\dfrac{1}{5}$
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2014ce2
probabilityandstatistics
probability
conditionalprobability
0
votes
0
answers
21
GATE2014129
A traffic office imposes on an average $5$ number of penalties daily on traffic violators. Assume that the number of penalties on different days is independent and follows a Poisson distribution. The probability that there will be less than $4$ penalties in a day is ___________
asked
Mar 26, 2018
in
Traffic Engineering
by
Milicevic3306
(
11.9k
points)
gate2014ce1
numericalanswers
trafficengineering
transportationengineering
probability
poissondistribution
0
votes
0
answers
22
GATE201413
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) ____________
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2014ce1
numericalanswers
probabilityandstatistics
probability
probabilitydensityfunction
0
votes
0
answers
23
GATE Civil 2013  Question: 29
Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function _______ $f(x) = \begin{cases} \lambda (x1)(2x) & \text{for } 1 \leq x \leq 2 \\ 0 & \text{otherwise} \end{cases}$
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2013ce
numericalanswers
probabilityandstatistics
probability
probabilitydensityfunction
0
votes
0
answers
24
GATE Civil 2013  Question: 3
A $1$h rainfall of $10$ cm magnitude at a station has a return period of $50$ years. The probability that a $1$h rainfall of magnitude $10$ cm or more will occur in each of two successive years is $0.04$ $0.2$ $0.02$ $0.0004$
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2013ce
probabilityandstatistics
probability
0
votes
0
answers
25
GATE Civil 2012  Question: 65
An automobile plant contracted to buy shock absorbers from two suppliers $X$ and $Y.$ $X$ supplies $60\%$ and $Y$ supplies $40\%$ ... shock absorber, which is found to be reliable, is made by $Y$ is $0.288$ $0.334$ $0.667$ $0.720$
asked
Mar 25, 2018
in
Numerical Ability
by
Milicevic3306
(
11.9k
points)
gate2012ce
numericalability
probability
conditionalprobability
0
votes
0
answers
26
GATE Civil 2012  Question: 27
In an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most one negative value in five trials is $\dfrac{1}{32} \\$ $\dfrac{2}{32} \\$ $\dfrac{3}{32} \\$ $\dfrac{6}{32}$
asked
Mar 25, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2012ce
probabilityandstatistics
probability
0
votes
0
answers
27
GATE Civil 2012  Question: 2
The annual precipitation data of a city is normally distributed with mean and standard deviation as $1000$ mm and $200$ mm, respectively. The probability that the annual precipitation will be more than $1200$ mm is $<50 \%$ $50 \%$ $75 \%$ $100\%$
asked
Mar 25, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2012ce
probabilityandstatistics
probability
normaldistribution
0
votes
0
answers
28
GATE2018 CE2: 19
Probability (up to one decimal place) of consecutively picking $3$ red balls without replacement from a box containing $5$ red balls and $1$ white ball is ___________
asked
Feb 17, 2018
in
Probability and Statistics
by
gatecse
(
4k
points)
gate2018ce2
probabilityandstatistics
probability
conditionalprobability
numericalanswers
0
votes
0
answers
29
GATE2018 CE2: 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 $1/3$ $2/3$ $1$ $3$
asked
Feb 17, 2018
in
Probability and Statistics
by
gatecse
(
4k
points)
gate2018ce2
probabilityandstatistics
probability
probabilitydensityfunction
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