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Recent questions and answers in Probability and Statistics
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1
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
in
Probability and Statistics
by
jothee
(
2.7k
points)
gate2020ce1
probabilityandstatistics
engineeringmathematics
probability
numericalanswers
0
votes
0
answers
2
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
in
Probability and Statistics
by
jothee
(
2.7k
points)
gate2020ce2
numericalanswers
probabilityandstatistics
engineeringmathematics
probability
0
votes
0
answers
3
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
(
2.8k
points)
gate2019ce1
probability
numericalanswers
probabilityandstatistics
engineeringmathematics
0
votes
0
answers
4
GATE2019 CE1: 27
A onedimensional domain is discretized into $N$ subdomains of width $\Delta x$ with node numbers $i=0,1,2,3, \dots , N$. If the time scale is discretized in steps of $\Delta t$, the forwardtime and centeredspace finite difference approximation at i th node and n th time step, for the ...
asked
Feb 14, 2019
in
Probability and Statistics
by
Arjun
(
2.8k
points)
gate2019ce1
probabilityandstatistics
engineeringmathematics
discreterandomvariables
0
votes
0
answers
5
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
(
2.8k
points)
gate2019ce2
probabilitydensityfunction
randomvariable
uniformdistribution
0
votes
0
answers
6
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
engineeringmathematics
+1
vote
0
answers
7
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
probabilitydensityfunction
engineeringmathematics
0
votes
0
answers
8
GATE201614
Type II error in hypothesis testing is acceptance of the null hypothesis when it is false and should be rejected rejection of the null hypothesis when it is true and should be accepted rejection of the null hypothesis when it is false and should be rejected acceptance of the null hypothesis when it is true and should be accepted
asked
Mar 28, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2016ce1
probabilityandstatistics
engineeringmathematics
hypothesistesting
0
votes
0
answers
9
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
probabilitydensityfunction
probabilityandstatistics
engineeringmathematics
0
votes
0
answers
10
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
engineeringmathematics
probabilitydensityfunction
0
votes
0
answers
11
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
engineeringmathematics
probabilitydensityfunction
0
votes
0
answers
12
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
engineeringmathematics
probabilitymassfunction
0
votes
0
answers
13
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
conditionalprobability
engineeringmathematics
0
votes
0
answers
14
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
engineeringmathematics
hydrology
watershed
evaporation
0
votes
0
answers
15
GATE201329
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
engineeringmathematics
probabilitydensityfunction
0
votes
0
answers
16
GATE20124
The Poisson’s ratio is defined as $\begin{vmatrix} \dfrac{\text{axial stress}}{\text{lateral stress}} \end{vmatrix} \\$ $\begin{vmatrix} \dfrac{\text{lateral strain}}{\text{axial strain}} \end{vmatrix} \\$ $\begin{vmatrix} \dfrac{\text{lateral stress}}{\text{axial stress}} \end{vmatrix} \\$ $\begin{vmatrix} \dfrac{\text{axial strain}}{\text{lateral strain}} \end{vmatrix}$
asked
Mar 25, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2012ce
probabilityandstatistics
engineeringmathematics
poissonsratio
0
votes
0
answers
17
GATE20122
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
engineeringmathematics
0
votes
0
answers
18
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
(
3.9k
points)
gate2018ce2
probability
withoutreplacement
numericalanswers
probabilityandstatistics
engineeringmathematics
0
votes
0
answers
19
GATE2018 CE2: 3
A probability distribution with right skew is shown in the figure. The correct statement for the probability distribution is Mean is equal to mode Mean is greater than median but less than mode Mean is greater than median and mode Mode is greater than median
asked
Feb 17, 2018
in
Probability and Statistics
by
gatecse
(
3.9k
points)
gate2018ce2
probabilityandstatistics
engineeringmathematics
probability
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