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Recent questions tagged probabilityandstatistics
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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 Bellshaped $S$shaped
asked
Feb 20
in
Probability and Statistics
by
Arjun
(
8.8k
points)
gatecivil2021set1
probabilityandstatistics
statistics
gaussiandistributions
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
(
5.3k
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
(
5.3k
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
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
(
8.8k
points)
gate2019ce1
numericalanswers
probabilityandstatistics
probability
conditionalprobability
0
votes
0
answers
6
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
(
8.8k
points)
gate2019ce2
probabilityandstatistics
probability
probabilitydensityfunction
randomvariable
uniformdistribution
0
votes
0
answers
7
GATE201621
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)
asked
Mar 28, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2016ce2
numericalanswers
probabilityandstatistics
statistics
meanmedianmode
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
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
statistics
hypothesistesting
0
votes
0
answers
11
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
12
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
13
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
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
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
17
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
18
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
19
GATE Civil 2013  Question: 29
Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function _______ $f(x) = \begin{cases} \lambda (x1)(2x) & \text{for } 1 \leq x \leq 2 \\ 0 & \text{otherwise} \end{cases}$
asked
Mar 26, 2018
in
Probability and Statistics
by
Milicevic3306
(
11.9k
points)
gate2013ce
numericalanswers
probabilityandstatistics
probability
probabilitydensityfunction
+1
vote
0
answers
20
GATE Civil 2013  Question: 23
It was observed that $150$ vehicles crossed a particular location of a highway in a duration of $30$ minutes. Assuming that vehicle arrival follows a negative exponential distribution, find out the number of time headways greater than $5$ seconds in the above observation? ________
asked
Mar 26, 2018
in
Highway Pavements
by
Milicevic3306
(
11.9k
points)
gate2013ce
highwaypavements
transportationengineering
exponentialdistribution
probabilityandstatistics
engineeringmathematics
numericalanswers
0
votes
0
answers
21
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
22
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
23
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
24
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
25
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
0
votes
0
answers
26
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
(
4k
points)
gate2018ce2
probabilityandstatistics
statistics
probabilitydistribution
meanmedianmode
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