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Recent questions and answers in Probability and Statistics
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GATE Civil 2021 Set 1 | Question: 3
The shape of the cumulative distribution function of Gaussian distribution is Horizontal line Straight line at $45$ degree angle Bell-shaped $S$-shaped
Arjun
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in
Probability and Statistics
Feb 20, 2021
by
Arjun
11.6k
points
gatecivil-2021-set1
probability-and-statistics
statistics
gaussian-distributions
0
votes
0
answers
2
GATE2020-CE-1-18
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 _______.
go_editor
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in
Probability and Statistics
Feb 28, 2020
by
go_editor
5.3k
points
gate2020-ce-1
probability-and-statistics
probability
numerical-answers
0
votes
0
answers
3
GATE2020 CE-2-18
A fair (unbiased) coin is tossed $15$ times. The probability of getting exactly $8$ Heads (round off to three decimal places), is _______.
go_editor
asked
in
Probability and Statistics
Feb 13, 2020
by
go_editor
5.3k
points
gate2020-ce-2
numerical-answers
probability-and-statistics
probability
0
votes
0
answers
4
GATE2017 CE-2-20
A two-faced 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 ________
gatecse
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in
Probability and Statistics
Aug 7, 2019
by
gatecse
4.0k
points
gate2017-ce-2
numerical-answers
probability-and-statistics
probability
conditional-probability
0
votes
0
answers
5
GATE2019 CE-1: 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 __________
Arjun
asked
in
Probability and Statistics
Feb 14, 2019
by
Arjun
11.6k
points
gate2019-ce-1
numerical-answers
probability-and-statistics
probability
conditional-probability
0
votes
0
answers
6
GATE2019 CE-2: 26
The probability density function of a continuous random variable distributed uniformly between $x$ and $y$ (for $y>x$) is $\dfrac{1}{x-y}$ $\dfrac{1}{y-x}$ $x-y$ $y-x$
Arjun
asked
in
Probability and Statistics
Feb 12, 2019
by
Arjun
11.6k
points
gate2019-ce-2
probability-and-statistics
probability
probability-density-function
random-variable
uniform-distribution
0
votes
0
answers
7
GATE2016-2-1
The spot speeds (expressed in km/hr) observed at a road section are $66, 62, 45, 79, 32, 51, 56, 60, 53,$ and $49$. The median speed (expressed in km / hr) is ______ (Note: answer with one decimal accuracy)
Milicevic3306
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in
Probability and Statistics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
numerical-answers
probability-and-statistics
statistics
mean-median-mode
0
votes
0
answers
8
GATE2016-2-4
$X$ 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 $P(X \cup Y)$? $0.7$ $0.5$ $0.4$ $0.3$
Milicevic3306
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in
Probability and Statistics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
probability-and-statistics
probability
independent-events
1
vote
0
answers
9
GATE2016-2-27
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
Milicevic3306
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in
Probability and Statistics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
probability-and-statistics
probability
probability-density-function
variance
0
votes
0
answers
10
GATE2016-1-4
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
Milicevic3306
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in
Probability and Statistics
Mar 28, 2018
by
Milicevic3306
11.9k
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gate2016-ce-1
probability-and-statistics
statistics
hypothesis-testing
0
votes
0
answers
11
GATE2016-1-26
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 $\dfrac{3}{4} \\$ $\dfrac{1}{2} \\$ $\dfrac{1}{4} \\$ $\dfrac{1}{8}$
Milicevic3306
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in
Probability and Statistics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-1
probability-and-statistics
probability
probability-density-function
random-variable
0
votes
0
answers
12
GATE2017 CE-1: 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 $1$
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
probability-and-statistics
probability
gaussian-distributions
0
votes
0
answers
13
GATE2017 CE-1: 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? $a=1,b=4$ $b=0.5,b=1$ $a=0,b=1$ $a=1,b=-1$
Milicevic3306
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
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gate2017-ce-1
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
14
GATE2015-2-26
The probability density function of a random variable, $x$ is $f(x)= \begin{cases} \dfrac{x}{4} ( 4-x^2) & \text{ for } 0 \leq x \leq 2 \\ 0 & \text{ otherwise} \end{cases}$ The mean $\mu _x$ of the random variable is ______.
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
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gate2015-ce-2
numerical-answers
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
15
GATE2015-1-3
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 _________
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
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gate2015-ce-1
numerical-answers
probability-and-statistics
probability
probability-mass-function
random-variable
0
votes
0
answers
16
GATE2014-2-5
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: $f(x) = \dfrac{1}{\sqrt{2 \pi} *b} e^{-\frac{1}{2} (\frac{x-a}{b})^2}$ where $'a'$ and $b'$ are the statistical ... $1$ $0.5$ $\pi$ $\dfrac{\pi}{2}$
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-2
probability-and-statistics
probability
probability-density-function
random-variable
0
votes
0
answers
17
GATE2014-2-1
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 $0$ $\dfrac{1}{2} \\$ $\dfrac{4}{5} \\$ $\dfrac{1}{5}$
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-2
probability-and-statistics
probability
conditional-probability
0
votes
0
answers
18
GATE2014-1-3
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) ____________
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
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gate2014-ce-1
numerical-answers
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
19
GATE Civil 2013 | Question: 29
Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function _______ $f(x) = \begin{cases} \lambda (x-1)(2-x) & \text{for } 1 \leq x \leq 2 \\ 0 & \text{otherwise} \end{cases}$
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Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2013-ce
numerical-answers
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
20
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 $0.04$ $0.2$ $0.02$ $0.0004$
Milicevic3306
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in
Probability and Statistics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2013-ce
probability-and-statistics
probability
0
votes
0
answers
21
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 $\dfrac{1}{32} \\$ $\dfrac{2}{32} \\$ $\dfrac{3}{32} \\$ $\dfrac{6}{32}$
Milicevic3306
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in
Probability and Statistics
Mar 25, 2018
by
Milicevic3306
11.9k
points
gate2012-ce
probability-and-statistics
probability
0
votes
0
answers
22
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 $<50 \%$ $50 \%$ $75 \%$ $100\%$
Milicevic3306
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in
Probability and Statistics
Mar 25, 2018
by
Milicevic3306
11.9k
points
gate2012-ce
probability-and-statistics
probability
normal-distribution
0
votes
0
answers
23
GATE2018 CE-2: 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 ___________
gatecse
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Probability and Statistics
Feb 17, 2018
by
gatecse
4.0k
points
gate2018-ce-2
probability-and-statistics
probability
conditional-probability
numerical-answers
0
votes
0
answers
24
GATE2018 CE-2: 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 $1/3$ $2/3$ $1$ $3$
gatecse
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in
Probability and Statistics
Feb 17, 2018
by
gatecse
4.0k
points
gate2018-ce-2
probability-and-statistics
probability
probability-density-function
0
votes
0
answers
25
GATE2018 CE-2: 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
gatecse
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in
Probability and Statistics
Feb 17, 2018
by
gatecse
4.0k
points
gate2018-ce-2
probability-and-statistics
statistics
probability-distribution
mean-median-mode
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