GATE Overflow for GATE CSE - Recent questions tagged poisson-distribution
https://gateoverflow.in/tag/poisson-distribution
Powered by Question2AnswerProbability Distribution
https://gateoverflow.in/389366/probability-distribution
Let X have a Poisson distribution with parameter λ = 1. What is the probability that X ≥ 2 given that X ≤ 4?Probabilityhttps://gateoverflow.in/389366/probability-distributionFri, 25 Nov 2022 13:01:40 +0000Poisson distribution
https://gateoverflow.in/384545/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?Mathematical Logichttps://gateoverflow.in/384545/poisson-distributionWed, 05 Oct 2022 10:26:16 +0000Best Open Video Playlist for Poisson Distributions Topic | Probability
https://gateoverflow.in/380549/best-video-playlist-poisson-distributions-topic-probability
<p>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 <a href="http://classroom.gateoverflow.in" rel="nofollow">GO classroom</a> video lists. You can add any video playlist link including your own (as long as they are free to access) but standard ones are more likely to be selected as best.<br>
<br>
For the full list of selected videos please see <a href="https://docs.google.com/spreadsheets/d/e/2PACX-1vQTEfCg28q1B_buKRxaVvUjN_CTu9UntAiqi9qBiZZesmJE6LnqfkuwxNQOsNcU1g/pubhtml" rel="nofollow">here</a></p>Study Resourceshttps://gateoverflow.in/380549/best-video-playlist-poisson-distributions-topic-probabilityMon, 15 Aug 2022 11:21:48 +0000ISI2015-MMA-53
https://gateoverflow.in/321824/isi2015-mma-53
<p>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</p>
<ol style="list-style-type:upper-alpha" type="A">
<li>$4$</li>
<li>$0$</li>
<li>$\Sigma_{i=0}^{\infty} i P(X=i+4)$</li>
<li>$\Sigma_{i=4}^{\infty} i P(X=i-4)$</li>
</ol>Probabilityhttps://gateoverflow.in/321824/isi2015-mma-53Mon, 23 Sep 2019 16:33:14 +0000ISI2016-MMA-9
https://gateoverflow.in/242721/isi2016-mma-9
<p>Suppose $X$ and $Y$ are two independent random variables both following Poisson distribution with parameter $\lambda$. What is the value of $E(X-Y)^2$ ?</p>
<ol start="1" style="list-style-type:upper-alpha">
<li>$\lambda$</li>
<li>$2 \lambda$</li>
<li>$\lambda^2$</li>
<li>$4 \lambda^2$</li>
</ol>Probabilityhttps://gateoverflow.in/242721/isi2016-mma-9Thu, 13 Sep 2018 12:29:24 +0000Hk Dass poisson distribution
https://gateoverflow.in/238903/hk-dass-poisson-distribution
If x has a modified Poisson distribution<br />
<br />
$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 .......Probabilityhttps://gateoverflow.in/238903/hk-dass-poisson-distributionFri, 31 Aug 2018 18:00:46 +0000probability
https://gateoverflow.in/200883/probability
<p><img alt="" src="https://gateoverflow.in/?qa=blob&qa_blobid=3634564377066764632"></p>Probabilityhttps://gateoverflow.in/200883/probabilitySun, 28 Jan 2018 20:51:43 +0000Previous Gate
https://gateoverflow.in/173423/previous-gate
The second moment of a Poisson-distributed random variable is 2. The mean of the variable is ....<br />
<br />
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?Mathematical Logichttps://gateoverflow.in/173423/previous-gateThu, 23 Nov 2017 10:59:26 +0000Poisson distribution
https://gateoverflow.in/145786/poisson-distribution
The second moment of a poisson distributed random variable is 2 the mean of the random variable is?Probabilityhttps://gateoverflow.in/145786/poisson-distributionSun, 20 Aug 2017 08:25:24 +0000Probability: Poisson distribution calculation vs normal probability calculation
https://gateoverflow.in/141096/probability-distribution-calculation-probability-calculation
<p><img alt="" src="https://gateoverflow.in/?qa=blob&qa_blobid=6871126998631182856"></p>
<p>In this question if we do simply probability calculation then it is 8/20 40%</p>
<p>but when I am appling poisson distribution then it is 40.4%.</p>
<p>why we are getting two different answers??</p>Mathematical Logichttps://gateoverflow.in/141096/probability-distribution-calculation-probability-calculationTue, 01 Aug 2017 12:48:46 +0000ISI2015-MMA-7
https://gateoverflow.in/129269/isi2015-mma-7
<p>Suppose $X$ is distributed as Poisson with mean $λ.$ Then $E(1/(X + 1))$ is</p>
<ol start="1" style="list-style-type: upper-alpha;">
<li>$\frac{e^{\lambda }-1}{\lambda }$</li>
<li>$\frac{e^{\lambda }-1}{\lambda +1}$</li>
<li>$\frac{1-e^{-\lambda }}{\lambda}$</li>
<li>$\frac{1-e^{-\lambda }}{\lambda + 1}$</li>
</ol>Probabilityhttps://gateoverflow.in/129269/isi2015-mma-7Thu, 11 May 2017 04:38:34 +0000GATE CSE 2017 Set 2 | Question: 48
https://gateoverflow.in/118513/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 ___.Probabilityhttps://gateoverflow.in/118513/gate-cse-2017-set-2-question-48Tue, 14 Feb 2017 08:31:08 +0000probability
https://gateoverflow.in/107872/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 _________Probabilityhttps://gateoverflow.in/107872/probabilityThu, 19 Jan 2017 09:05:53 +0000GATE CSE 1989 | Question: 4-viii
https://gateoverflow.in/88156/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).Probabilityhttps://gateoverflow.in/88156/gate-cse-1989-question-4-viiiWed, 30 Nov 2016 14:47:26 +0000GATE CSE 1989 | Question: 3-vii
https://gateoverflow.in/87141/gate-cse-1989-question-3-vii
<p>Which of the following statements are FALSE?</p>
<ol style="list-style-type:upper-alpha">
<li>For poisson distribution, the mean is twice the variance.</li>
<li>In queuing theory, if arrivals occur according to poisson distribution, then the inter-arrival time is exponentially distributed.</li>
<li>The distribution of waiting time is independent of the service discipline used in selecting the waiting customers for service.</li>
<li>If the time between successive arrivals is exponential, then the time between the occurences of every third arrival is also exponential.</li>
</ol>Probabilityhttps://gateoverflow.in/87141/gate-cse-1989-question-3-viiSun, 27 Nov 2016 13:37:28 +0000UGC NET CSE | December 2011 | Part 2 | Question: 27
https://gateoverflow.in/63681/ugc-net-cse-december-2011-part-2-question-27
<p>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</p>
<ol style="list-style-type: upper-alpha;">
<li>$e^{-15}$</li>
<li>$e^{-5}$</li>
<li>$1 – e^{-5}$ </li>
<li>$1 – e^{-10}$</li>
</ol>Probabilityhttps://gateoverflow.in/63681/ugc-net-cse-december-2011-part-2-question-27Wed, 17 Aug 2016 18:37:22 +0000frame transmission probability
https://gateoverflow.in/57301/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 = $100$Computer Networkshttps://gateoverflow.in/57301/frame-transmission-probabilityMon, 11 Jul 2016 13:43:49 +0000ISRO2009-66
https://gateoverflow.in/50563/isro2009-66
<p>If the pdf of a Poisson distribution is given by $f(x) = \dfrac{e^{-2} 2^x}{x!}$ then its mean is</p>
<ol style="list-style-type:upper-alpha">
<li>$2^x$</li>
<li>$2$</li>
<li>$-2$</li>
<li>$1$</li>
</ol>Probabilityhttps://gateoverflow.in/50563/isro2009-66Wed, 15 Jun 2016 06:11:11 +0000GATE IT 2007 | Question: 57
https://gateoverflow.in/3499/gate-it-2007-question-57
<p>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 $45$ minutes is given by :</p>
<ol style="list-style-type:upper-alpha">
<li>$6.9 \times 10^6 \times e^{-20}$</li>
<li>$1.02 \times 10^6 \times e^{-20}$</li>
<li>$6.9 \times 10^3 \times e^{-20}$</li>
<li>$1.02 \times 10^3 \times e^{-20}$</li>
</ol>Probabilityhttps://gateoverflow.in/3499/gate-it-2007-question-57Thu, 30 Oct 2014 03:27:39 +0000GATE CSE 2013 | Question: 2
https://gateoverflow.in/62/gate-cse-2013-question-2
<p>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?<br>
</p>
<ol style="list-style-type:upper-alpha">
<li>$\dfrac{8}{(2e^{3})}$
</li>
<li>$\dfrac{9}{(2e^{3})}$
</li>
<li>$\dfrac{17}{(2e^{3})}$
</li>
<li>$\dfrac{26}{(2e^{3})}$</li>
</ol>Probabilityhttps://gateoverflow.in/62/gate-cse-2013-question-2Thu, 07 Aug 2014 15:33:18 +0000