GATE Overflow - Recent questions tagged poisson-distribution
http://gateoverflow.in/tag/poisson-distribution
Powered by Question2AnswerISI 2015 MMA 7
http://gateoverflow.in/129269/isi-2015-mma-7
Suppose X is distributed as Poisson with mean λ. Then E(1/(X + 1)) is<br />
<br />
(A) $\frac{e^{\lambda }-1}{\lambda }$ <br />
<br />
(B) $\frac{e^{\lambda }-1}{\lambda +1}$<br />
<br />
(C) $\frac{1-e^{-\lambda }}{\lambda}$ <br />
<br />
(D) $\frac{1-e^{-\lambda }}{\lambda + 1}$Probabilityhttp://gateoverflow.in/129269/isi-2015-mma-7Thu, 11 May 2017 10:08:34 +0000GATE2017-2-48
http://gateoverflow.in/118513/gate2017-2-48
<p>If a random variable X has a Poisson distribution with mean 5, then the expectation E[(X+2)<sup>2</sup>] equals ___.</p>Probabilityhttp://gateoverflow.in/118513/gate2017-2-48Tue, 14 Feb 2017 14:01:08 +0000probability
http://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 _________Probabilityhttp://gateoverflow.in/107872/probabilityThu, 19 Jan 2017 14:35:53 +0000GATE1989-3-vii
http://gateoverflow.in/87141/gate1989-3-vii
<p>Answer the following:</p>
<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>Probabilityhttp://gateoverflow.in/87141/gate1989-3-viiSun, 27 Nov 2016 19:07:28 +0000frame transmission probability
http://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 Networkshttp://gateoverflow.in/57301/frame-transmission-probabilityMon, 11 Jul 2016 19:13:49 +0000ISRO2009-66
http://gateoverflow.in/50563/isro2009-66
<p>If the pdf of a Poisson distribution is given by $f(x) = \frac{e^{-2} 2^x}{x!}$ 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>
Probabilityhttp://gateoverflow.in/50563/isro2009-66Wed, 15 Jun 2016 11:41:11 +0000GATE2007-IT-57
http://gateoverflow.in/3499/gate2007-it-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>Probabilityhttp://gateoverflow.in/3499/gate2007-it-57Thu, 30 Oct 2014 08:57:39 +0000GATE2013_2
http://gateoverflow.in/62/gate2013_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?<br />
<br />
(A) $8/(2e^{3})$<br />
<br />
(B) $9/(2e^{3})$<br />
<br />
(C) $17/(2e^{3})$<br />
<br />
(D) $26/(2e^{3})$Probabilityhttp://gateoverflow.in/62/gate2013_2Thu, 07 Aug 2014 21:03:18 +0000