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Recent questions tagged poisson-distribution

1 vote

1 answer

1

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

271 views

1 vote

1 answer

2

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

264 views

0 votes

0 answers

3

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 lists. ... 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

61 views

2 votes

1 answer

4

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 asked in Probability Sep 23, 2019

by Arjun

897 views

2 votes

2 answers

5

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

656 views

3 votes

0 answers

6

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

601 views

2 votes

1 answer

7

Balaji Jegan asked in Probability Jan 29, 2018

by Balaji Jegan

356 views

1 vote

1 answer

8

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

4.1k views

1 vote

1 answer

9

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

446 views

1 vote

1 answer

10

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

563 views

13 votes

2 answers

11

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

2.1k views

45 votes

4 answers

12

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

13.9k views

4 votes

0 answers

13

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

951 views

6 votes

1 answer

14

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

934 views

6 votes

1 answer

15

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

1.5k views

3 votes

1 answer

16

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 18, 2016

by makhdoom ghaya

3.3k views

3 votes

1 answer

17

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

806 views

6 votes

1 answer

18

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

2.5k views

37 votes

1 answer

19

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

6.9k views

28 votes

2 answers

20

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

7.5k views

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Recent questions tagged poisson-distribution