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Recent questions tagged probability
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1
GATE Electrical 2021  GA Question: 8
Let $X$ be a continuous random variable denoting the temperature measured. The range of temperature is $[0, 100]$ degree Celsius and let the probability density function of $X$ be $f\left ( x \right )=0.01$ for $0\leq X\leq 100$. The mean of $X$ is __________ $2.5$ $5.0$ $25.0$ $50.0$
asked
Feb 20
in
Numerical Ability
by
Arjun
(
7.8k
points)
gateee2021
numericalability
probability
probabilitydensityfunction
expectation
0
votes
0
answers
2
GATE Electrical 2021  Question: 27
Suppose the probability that a coin toss shows "head" is $p$, where $0<p<1$. The coin is tossed repeatedly until the first "head" appears. The expected number of tosses required is $p/\left ( 1p \right )$ $\left ( 1p \right )/p$ $1/p$ $1/p^{2}$
asked
Feb 20
in
new
by
Arjun
(
7.8k
points)
gateee2021
probabilityandstatistics
probability
0
votes
0
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3
GATE Electrical 2019  Question: 5
The meansquare of a zeromean random process is $\frac{kT}{c},$ where $k$ is Boltzmann’s constant, $T$ is the absolute temperature, and $C$ is a capacitance. The standard deviation of the random process is $\frac{kT}{c} \\ $ $\sqrt{\frac{kT}{c}} \\ $ $\frac{c}{kT} \\ $ $\frac{\sqrt{kT}}{c}$
asked
Feb 12, 2019
in
new
by
Arjun
(
7.8k
points)
gate2019ee
probabilityandstatistics
probability
standarddeviation
0
votes
0
answers
4
GATE Electrical 2019  Question: 40
The probability of a resistor being deflective is $0.02$. There are $50$ such resistors in a circuit. The probability of two or more defective resistors in the circuit (round off to two decimal places) is _______________
asked
Feb 12, 2019
in
new
by
Arjun
(
7.8k
points)
gate2019ee
numericalanswers
probabilityandstatistics
probability
0
votes
0
answers
5
GATE Electrical 2012  Question: 61
$A$ and $B$ are friends. They decide to meet between $1:00$ pm and $2:00$ pm on a given day. There is a condition that whoever arrives first will not wait for the other for more than $15$ minutes. The probability that they will meet on that day is $1/4$ $1/16$ $7/16$ $9/16$
asked
Mar 24, 2018
in
Numerical Ability
by
Andrijana3306
(
1.4k
points)
gate2012ee
numericalability
probability
0
votes
0
answers
6
GATE Electrical 2012  Question: 37
A fair coin is tossed till a head appears for the first ime. The probability that the number of required tosses is odd, is $1/3$ $1/2$ $2/3$ $3/4$
asked
Mar 24, 2018
in
Probability & Statistics
by
Andrijana3306
(
1.4k
points)
gate2012ee
probabilityandstatistics
probability
0
votes
0
answers
7
GATE Electrical 2012  Question: 1
Two independent random variables $X$ and $Y$ are uniformly distributed in the interval $[1,1]$. The probability that $\text{max}[X,Y]$ is less than $1/2$ is $3/4$ $9/16$ $1/4$ $2/3$
asked
Mar 24, 2018
in
Probability & Statistics
by
Andrijana3306
(
1.4k
points)
gate2012ee
probabilityandstatistics
probability
randomvariable
uniformdistribution
0
votes
1
answer
8
GATE Electrical 2018  GA Question: 8
A class of twelve children has two more boys than girls. A group of three children are randomly picked from this class to accompany the teacher on a field trip. What is the probability that the group accompanying the teacher contains more girls than boys? $0 \\ $ $\frac{325}{864} \\ $ $\frac{525}{864} \\ $ $\frac{5}{12}$
asked
Feb 19, 2018
in
Numerical Ability
by
Arjun
(
7.8k
points)
gate2018ee
numericalability
probability
0
votes
0
answers
9
GATE Electrical 2017 Set 2  GA Question: 5
There are $3$ red socks, $4$ green socks and $3$ blue socks. You choose $2$ socks. The probability that they are of the same colour is $1/5$ $7/30$ $1/4$ $4/15$
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
(
7.8k
points)
gate2017ee2
numericalability
probability
conditionalprobability
0
votes
0
answers
10
GATE Electrical 2017 Set 2  Question: 40
A person decides to toss a fair coin repeatedly until he gets a head. He will make at most $3$ tosses. Let the random variable $Y$ denote the number of heads. The value of $\text{var} \{Y\}$, where $\text{var} \{ \cdot \}$ denotes the variance, equals $\frac{7}{8} \\$ $\frac{49}{64} \\$ $\frac{7}{64} \\$ $\frac{105}{64}$
asked
Feb 27, 2017
in
new
by
Arjun
(
7.8k
points)
gate2017ee2
probabilityandstatistics
probability
randomvariable
variance
+1
vote
1
answer
11
GATE Electrical 2017 Set 2  Question: 1
An urn contains $5$ red balls and $5$ black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a Red ball in the second draw is $\frac{1}{2} \\$ $\frac{4}{9} \\$ $\frac{5}{9} \\$ $\frac{6}{9} $
asked
Feb 27, 2017
in
new
by
Arjun
(
7.8k
points)
gate2017ee2
probabilityandstatistics
probability
conditionalprobability
0
votes
0
answers
12
GATE Electrical 2017 Set 1  GA Question: 5
The probability that a $k$digit number does NOT contain the digits $0, 5$ or $9$ is $0.3^{k}$ $0.6^{k}$ $0.7^{k}$ $0.9^{k}$
asked
Feb 27, 2017
in
Numerical Ability
by
Arjun
(
7.8k
points)
gate2017ee1
numericalability
probability
0
votes
0
answers
13
GATE Electrical 2013  Question: 61
What is the chance that a leap year, selected at random, will contain $53$ Saturdays? $2/7$ $3/7$ $1/7$ $5/7$
asked
Feb 12, 2017
in
Numerical Ability
by
piyag476
(
1.5k
points)
gate2013ee
numericalability
probability
leapyear
0
votes
0
answers
14
GATE Electrical 2013  Question: 11
A continuous random variable $X$ has a probability density function $f(x)=e^{x}, 0< x< \infty$. then $P\{X> 1\}$ $0.368$ $0.5$ $0.632$ $1.0$
asked
Feb 12, 2017
in
Probability & Statistics
by
piyag476
(
1.5k
points)
gate2013ee
probabilityandstatistics
probability
randomvariable
probabilitydensityfunction
0
votes
0
answers
15
GATE Electrical 2014 Set 3  Question: 4
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 ________.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
probabilityandstatistics
probability
randomvariable
probabilitydensityfunction
numericalanswers
0
votes
0
answers
16
GATE Electrical 2014 Set 2  Question: 27
Let $X$ be a random variable with probability density function $f(x)=\begin{cases} 0.2,& \text{for } \mid x \mid \leq 1\\ 0.1,& \text{for }1< \mid x \mid \leq 4\\ 0 & \text{otherwise } \end{cases} \\$ The probability $P(0.5 < X < 5)$ is ______.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
probabilityandstatistics
probability
randomvariable
probabilitydensityfunction
numericalanswers
+1
vote
1
answer
17
GATE Electrical 2014 Set 2  Question: 2
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 ________.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
probabilityandstatistics
probability
+1
vote
0
answers
18
GATE Electrical 2014 Set 1  Question: 27
A fair coin is tossed $n$ times. The probability that the difference between the number of heads and tails is $(n3)$ is $2^{n}$ $0$ $^{n}C_{n3}2^{n}$ $2^{n+3}$
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
probabilityandstatistics
probability
coins
0
votes
0
answers
19
GATE Electrical 2015 Set 2  Question: 27
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 ... is TRUE? The coin tosses are independent. $R$ is fair, $S$ is not. $S$ is fair, $R$ is not. The coin tosses are dependent.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
probabilityandstatistics
probability
0
votes
1
answer
20
GATE Electrical 2015 Set 1  Question: 29
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 $5/11$ $1/2$ $7/13$ $6/11$
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
probabilityandstatistics
probability
conditionalprobability
0
votes
0
answers
21
GATE Electrical 2015 Set 1  Question: 1
A random variable $X$ has probability density function $f(x)$ as given below: $ f(x)= \begin{cases} a+bx & \text{ for } 0 < x < 1 \\ 0 & \text{otherwise} \end{cases}$ If the expected value $E[x] = 2/3$, then $Pr[x < 0.5]$ is __________.
asked
Feb 12, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
probabilityandstatistics
probability
randomvariable
probabilitydensityfunction
expectation
numericalanswers
0
votes
0
answers
22
GATE Electrical 2015 Set 1  GA Question: 9
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 $50\%$ ... $II$ is true. Relations $II$ and $III$ are true. Relations $I$ and $III$ are true.
asked
Feb 12, 2017
in
Numerical Ability
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
numericalability
probability
0
votes
0
answers
23
GATE Electrical 2015 Set 1  GA Question: 5
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 $16$? $0.20$ $0.25$ $0.30$ $0.33$
asked
Feb 12, 2017
in
Numerical Ability
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
numericalability
probability
0
votes
0
answers
24
GATE Electrical 2016 Set 2  Question: 33
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 $2, \frac{1}{2}$ $4, \frac{1}{2}$ $2, \frac{1}{4}$ $4, \frac{1}{4}$
asked
Jan 30, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
probabilityandstatistics
probability
randomvariable
probabilitydensityfunction
0
votes
0
answers
25
GATE Electrical 2016 Set 2  GA Question: 9
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? $0.2508$ $0.2816$ $0.2934$ $0.6000$
asked
Jan 30, 2017
in
Numerical Ability
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
numericalability
probability
conditionalprobability
0
votes
0
answers
26
GATE Electrical 2016 Set 1  Question: 26
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 _________.
asked
Jan 30, 2017
in
Probability & Statistics
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
probabilityandstatistics
probability
conditionalprobability
numericalanswers
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