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Recent questions tagged poissondistribution
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ISI2015MMA53
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 $4$ $0$ $\Sigma_{i=0}^{\infty} i P(X=i+4)$ $\Sigma_{i=4}^{\infty} i P(X=i4)$
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Sep 23, 2019
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Probability
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Arjun
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isi2015mma
poissondistribution
expectation
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2
ISI2016MMA9
Suppose $X$ and $Y$ are two independent random variables both following Poisson distribution with parameter $\lambda$. What is the value of $E(XY)^2$ ? $\lambda$ $2 \lambda$ $\lambda^2$ $4 \lambda^2$
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Sep 13, 2018
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Probability
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jothee
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isi2016mmamma
probability
randomvariable
poissondistribution
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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 .......
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Aug 31, 2018
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Probability
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Mk Utkarsh
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36.5k
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140
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probability
poissondistribution
+1
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1
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4
probability
asked
Jan 29, 2018
in
Probability
by
Balaji Jegan
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5k
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84
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probability
engineeringmathematics
poissondistribution
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1
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5
Previous Gate
The second moment of a Poissondistributed 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?
asked
Nov 23, 2017
in
Mathematical Logic
by
Kalpataru Bose
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413
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849
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mathematics
gate2015
engineeringmathematics
statistics
probability
poissondistribution
0
votes
1
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6
Poisson distribution
The second moment of a poisson distributed random variable is 2 the mean of the random variable is?
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Aug 20, 2017
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Probability
by
saumya mishra
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965
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169
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poissondistribution
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1
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7
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??
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Aug 1, 2017
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Mathematical Logic
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Shubhanshu
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18.3k
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207
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engineeringmathematics
probability
poissondistribution
+11
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2
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8
ISI2015MMA7
Suppose $X$ is distributed as Poisson with mean $λ.$ Then $E(1/(X + 1))$ is $\frac{e^{\lambda }1}{\lambda }$ $\frac{e^{\lambda }1}{\lambda +1}$ $\frac{1e^{\lambda }}{\lambda}$ $\frac{1e^{\lambda }}{\lambda + 1}$
asked
May 11, 2017
in
Probability
by
neha.i
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447
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881
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isi2015
engineeringmathematics
poissondistribution
+31
votes
4
answers
9
GATE2017248
If a random variable $X$ has a Poisson distribution with mean $5$, then the expectation $E\left [ \left ( x+2 \right )^{2} \right ]$ equals ___.
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Feb 14, 2017
in
Probability
by
Kantikumar
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4.6k
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5.1k
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gate20172
expectation
poissondistribution
numericalanswers
probability
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0
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10
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 _________
asked
Jan 19, 2017
in
Probability
by
Supremo
(
389
points)

239
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probability
engineeringmathematics
poissondistribution
+2
votes
1
answer
11
GATE19894viii
Provide short answers to the following questions: $P_{n} (t)$ 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).
asked
Nov 30, 2016
in
Probability
by
makhdoom ghaya
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30.8k
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160
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gate1989
descriptive
probability
poissondistribution
+4
votes
1
answer
12
GATE19893vii
Answer the following: 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 interarrival time is exponentially ... time between successive arrivals is exponential, then the time between the occurences of every third arrival is also exponential.
asked
Nov 27, 2016
in
Probability
by
makhdoom ghaya
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30.8k
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457
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gate1989
normal
probability
poissondistribution
queuingtheory
nongate
+2
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1
answer
13
UGCNETDec2011II27
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 $e^{15}$ $e^{5}$ $1 – e^{5}$ $1 – e^{10}$
asked
Aug 18, 2016
in
Probability
by
makhdoom ghaya
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30.8k
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2k
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ugcnetdec2011ii
probability
poissondistribution
+3
votes
1
answer
14
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 = $100$
asked
Jul 11, 2016
in
Computer Networks
by
dd
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57.2k
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368
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computernetworks
probability
slotted_aloha
poissondistribution
+4
votes
1
answer
15
ISRO200966
If the pdf of a Poisson distribution is given by $f(x) = \frac{e^{2} 2^x}{x!}$ then its mean is $2^x$ $2$ $2$ $1$
asked
Jun 15, 2016
in
Probability
by
jothee
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(
105k
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1.4k
views
isro2009
probability
poissondistribution
+21
votes
1
answer
16
GATE2007IT57
In a multiuser 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 : $6.9 \times 10^6 \times e^{20}$ ... $6.9 \times 10^3 \times e^{20}$ $1.02 \times 10^3 \times e^{20}$
asked
Oct 30, 2014
in
Probability
by
Ishrat Jahan
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16.3k
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2.9k
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gate2007it
probability
poissondistribution
normal
+17
votes
2
answers
17
GATE20132
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? $\dfrac{8}{(2e^{3})}$ $\dfrac{9}{(2e^{3})}$ $\dfrac{17}{(2e^{3})}$ $\dfrac{26}{(2e^{3})}$
asked
Aug 7, 2014
in
Probability
by
gatecse
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17.5k
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3.1k
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gate2013
probability
poissondistribution
normal
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