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Recent questions tagged poisson-distribution
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Memory Based GATE DA 2024 | Question: 44
Consider the statements below related to probability distributions: \textbf{(S1):} For a Poisson distribution, the mean and variance are equal. \textbf{(S2):} For a standard normal distribution, the mean is 0, and the variance is 1. Which of the following ... true. S1 is true, but S2 is false. S1 is false, but S2 is true. Both S1 and S2 are false.
GO Classes
asked
in
Probability
Feb 4
by
GO Classes
136
views
gate2024-da-memory-based
goclasses
probability
poisson-distribution
normal-distribution
4
votes
0
answers
2
TIFR CSE 2023 | Part B | Question: 7
Consider the random variables $N, H$, and $T$ sampled as follows. First, $N$ is sampled from the Poisson$(10)$ distribution. This means that for each integer $n \geq 0$, \[ \operatorname{Pr}[N=n]=\frac{e^{-10} 10^{n}}{n !} \text {. } \] Then $N$ independent fair ... $E[H T]<E[H] \times E[T]$. $H$ and $T$ are not independent, and $E[H T]>E[H] \times E[T]$.
admin
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in
Probability
Mar 14, 2023
by
admin
558
views
tifr2023
probability
poisson-distribution
1
vote
1
answer
3
Probability Distribution
Let X have a Poisson distribution with parameter λ = 1. What is the probability that X ≥ 2 given that X ≤ 4?
LRU
asked
in
Probability
Nov 25, 2022
by
LRU
1.4k
views
probability
engineering-mathematics
poisson-distribution
1
vote
1
answer
4
Poisson distribution
An 800 page book has 400 misprints. If the misprints are distributed uniformly throughout the book and the Poisson approximation to the binomial distribution is used to calculate the probability of exactly 2 misprints on page 16, which of the following represents the correct use of the Poisson approximation?
kathan Mistry
asked
in
Mathematical Logic
Oct 5, 2022
by
kathan Mistry
845
views
probability
poisson-distribution
numerical-answers
0
votes
0
answers
5
Best Open Video Playlist for Poisson Distributions Topic | Probability
Please list out the best free available video playlist for Poisson Distributions Topic from Probability as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video ... ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 15, 2022
by
makhdoom ghaya
184
views
missing-videos
free-videos
video-links
go-classroom
poisson-distribution
2
votes
1
answer
6
ISI2015-MMA-53
The number of cars $(X)$ arriving at a service station per day follows a Poisson distribution with mean $4$. The service station can provide service to a maximum of $4$ cars per day. Then the expected number of cars that do not get service per day equals $4$ $0$ $\Sigma_{i=0}^{\infty} i P(X=i+4)$ $\Sigma_{i=4}^{\infty} i P(X=i-4)$
Arjun
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in
Probability
Sep 23, 2019
by
Arjun
1.2k
views
isi2015-mma
poisson-distribution
expectation
2
votes
2
answers
7
ISI2016-MMA-9
Suppose $X$ and $Y$ are two independent random variables both following Poisson distribution with parameter $\lambda$. What is the value of $E(X-Y)^2$ ? $\lambda$ $2 \lambda$ $\lambda^2$ $4 \lambda^2$
go_editor
asked
in
Probability
Sep 13, 2018
by
go_editor
840
views
isi2016-mmamma
probability
random-variable
poisson-distribution
expectation
3
votes
0
answers
8
Hk Dass poisson distribution
If x has a modified Poisson distribution $P_k = P_r(x = k) =$\Large \frac{ ( e^m - 1 )^{-1} m^k}{k!}$, $(k = 1,2,3.....)$, then expected value of x is .......
Mk Utkarsh
asked
in
Probability
Aug 31, 2018
by
Mk Utkarsh
904
views
probability
poisson-distribution
2
votes
1
answer
9
probability
Balaji Jegan
asked
in
Probability
Jan 28, 2018
by
Balaji Jegan
558
views
probability
engineering-mathematics
poisson-distribution
1
vote
1
answer
10
Previous Gate
The second moment of a Poisson-distributed random variable is 2. The mean of the variable is .... My question on solving we get 2 values of lamda(ie mean) .One is -2 and the other is 1 .So which one to choose?
Kalpataru Bose
asked
in
Mathematical Logic
Nov 23, 2017
by
Kalpataru Bose
4.7k
views
mathematics
gate-2015
engineering-mathematics
statistics
probability
poisson-distribution
1
vote
1
answer
11
Poisson distribution
The second moment of a poisson distributed random variable is 2 the mean of the random variable is?
saumya mishra
asked
in
Probability
Aug 20, 2017
by
saumya mishra
608
views
poisson-distribution
1
vote
1
answer
12
Probability: Poisson distribution calculation vs normal probability calculation
In this question if we do simply probability calculation then it is 8/20 40% but when I am appling poisson distribution then it is 40.4%. why we are getting two different answers??
Shubhanshu
asked
in
Mathematical Logic
Aug 1, 2017
by
Shubhanshu
740
views
engineering-mathematics
probability
poisson-distribution
13
votes
2
answers
13
ISI2015-MMA-7
Suppose $X$ is distributed as Poisson with mean $λ.$ Then $E(1/(X + 1))$ is $\frac{e^{\lambda }-1}{\lambda }$ $\frac{e^{\lambda }-1}{\lambda +1}$ $\frac{1-e^{-\lambda }}{\lambda}$ $\frac{1-e^{-\lambda }}{\lambda + 1}$
neha.i
asked
in
Probability
May 11, 2017
by
neha.i
2.7k
views
isi2015
engineering-mathematics
poisson-distribution
47
votes
4
answers
14
GATE CSE 2017 Set 2 | Question: 48
If a random variable $X$ has a Poisson distribution with mean $5$, then the expectation $E\left [ \left ( x+2 \right )^{2} \right ]$ equals ___.
Kantikumar
asked
in
Probability
Feb 14, 2017
by
Kantikumar
16.2k
views
gatecse-2017-set2
expectation
poisson-distribution
numerical-answers
probability
4
votes
0
answers
15
probability
If two cards are drawn from a pack of 52 cards, which are diamonds. Using Poissons distribution find the probability of getting two diamonds at least 3 times in 51 consecutive trials of two cards drawing each time _________
Supremo
asked
in
Probability
Jan 19, 2017
by
Supremo
1.2k
views
probability
engineering-mathematics
poisson-distribution
6
votes
1
answer
16
GATE CSE 1989 | Question: 4-viii
$P_{n} (t)$ is the probability of $n$ events occurring during a time interval $t$. How will you express $P_{0} (t + h)$ in terms of $P_{0} (h)$, if $P_{0} (t)$ has stationary independent increments? (Note: $P_{t} (t)$is the probability density function).
makhdoom ghaya
asked
in
Probability
Nov 30, 2016
by
makhdoom ghaya
1.6k
views
gate1989
descriptive
probability
poisson-distribution
6
votes
1
answer
17
GATE CSE 1989 | Question: 3-vii
Which of the following statements are FALSE? For poisson distribution, the mean is twice the variance. In queuing theory, if arrivals occur according to poisson distribution, then the inter-arrival time is exponentially distributed. The ... between successive arrivals is exponential, then the time between the occurences of every third arrival is also exponential.
makhdoom ghaya
asked
in
Probability
Nov 27, 2016
by
makhdoom ghaya
2.0k
views
gate1989
normal
probability
poisson-distribution
queuing-theory
out-of-gate-syllabus
3
votes
1
answer
18
UGC NET CSE | December 2011 | Part 2 | Question: 27
The multiuser operating system, $20$ requests are made to use a particular resource per hour, on an average the probability that no request are made in $45$ minutes is $e^{-15}$ $e^{-5}$ $1 – e^{-5}$ $1 – e^{-10}$
makhdoom ghaya
asked
in
Probability
Aug 17, 2016
by
makhdoom ghaya
3.7k
views
ugcnetcse-dec2011-paper2
probability
poisson-distribution
3
votes
1
answer
19
frame transmission probability
In a aloha implemented shared channel probability of transmission of a station in a time span of T is p. Given, probability such that NO station transmit in a time duration of $2T$ is $50\%$ , where T = one frame transmission time. What is the value of p is if total no of station = $100$
dd
asked
in
Computer Networks
Jul 11, 2016
by
dd
1.0k
views
computer-networks
probability
slotted-aloha
poisson-distribution
6
votes
1
answer
20
ISRO2009-66
If the pdf of a Poisson distribution is given by $f(x) = \dfrac{e^{-2} 2^x}{x!}$ then its mean is $2^x$ $2$ $-2$ $1$
go_editor
asked
in
Probability
Jun 15, 2016
by
go_editor
2.8k
views
isro2009
probability
poisson-distribution
43
votes
3
answers
21
GATE IT 2007 | Question: 57
In a multi-user operating system on an average, $20$ requests are made to use a particular resource per hour. The arrival of requests follows a Poisson distribution. The probability that either one, three or five requests are made in $45$ ... $6.9 \times 10^3 \times e^{-20}$ $1.02 \times 10^3 \times e^{-20}$
Ishrat Jahan
asked
in
Probability
Oct 30, 2014
by
Ishrat Jahan
9.3k
views
gateit-2007
probability
poisson-distribution
normal
31
votes
2
answers
22
GATE CSE 2013 | Question: 2
Suppose $p$ is the number of cars per minute passing through a certain road junction between $5$ PM and $6$ PM, and $p$ has a Poisson distribution with mean $3$. What is the probability of observing fewer than $3$ cars during any given minute in this interval? $\dfrac{8}{(2e^{3})}$ $\dfrac{9}{(2e^{3})}$ $\dfrac{17}{(2e^{3})}$ $\dfrac{26}{(2e^{3})}$
gatecse
asked
in
Probability
Aug 7, 2014
by
gatecse
8.9k
views
gatecse-2013
probability
poisson-distribution
normal
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