A random graph is generated on n vertices where each edge has probability p of being in the graph. What is (a) The expected number of paths of length 2? (b) The variance of the number of paths of length 2?

Q: If 30 tickets are numbered consecutively from 1 to 30, and 2 tickets aré selected at random without…

A: let X be the sum of numbers. X can range from 3 to 59.Make the 30 by 30 grid for ease of…

Q: The number of traffic accidents that occur on a particular stretch of road during a month follows a…

A: Solution: Let X be the number of accidents will occur on this stretch of road during a month. From…

Q: Derive the.relation between PSDS of input and output random process of an LTI system.

A:

Q: Suppose that the number of potholes per randomly se;ected 300 ft stretch of roadway has a Poisson…

A:

Q: The number of planes arriving per day at a small private airport is a random variable having a…

A: Given: X~P28.8

Q: Suppose that the number of telephone calls coming into a switchboard follows a Poisson process with…

A: Given: Mean number of calls per minute λ=10     Let X ~ Poi(10 ) P(X=x) =λx×e- λx!P(X=4)…

Q: What is the variance in the number of successes during a 36 minute period?

A: Let X denote the number of successes during a 36 minute period. Given that  Expected success per…

Q: Suppose we are counting successes in a Poisson process where we expect 15 successes per hour.  What…

A: Given that the mean value for Poisson process is λ=15 per hour. That is, λ=15 per 60 minutes.…

Q: From past experience, it was found out that in a certain factory, there is an average of two…

A: Let ,X=no.of accidents per monthX~poisson (λ=2)P(X=x)=e-λ λxx! ; x≥0

Q: The birth rate in a hospital is given to match the Poisson distribution with an average of 1.2 per…

A:

Q: The values of a discrete random variable can be plotted on a number line with space between each…

A: # The values of discrete random variable caan be plotted on number line with space between…

Q: A store selling newspapers orders only n = 4 of a certain newspaper because the manager does not get…

A: Given n = 4 Let X be the number of request per day for the newspaper orders X ~ Poisson (λ) P(X=x) =…

Q: Suppose that the number of incoming phone calls to a telephone switchboard Poisson distribution with…

A: As per given by the question, find the probability that the telephone switchboard will received at…

Q: The number of corner kicks in a 90 minute soccer game follows a Poisson distribution with a mean of…

A: Poisson distribution is a discrete function which is used to measure the probability of an event…

Q: Suppose the number of babies born during an 8-hour shift at a hospital's maternity wing follows a…

A: Given, lamda=6 P(X=5)=?

Q: The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of…

A:

Q: A tank of water is leaked and has an outflow rate of 5 liters per minute which can be modeled as a…

A: # water flow from a leaked tank follow Poisson distribution with rate 5 litre/min  Then to find…

Q: 2. The number of hits to your web site is a Poisson process with a rate of 3 per day. (a) What is…

A: The number of hits to the website is a Poisson process with a rate of 3 per day. Therefore, for four…

Q: Suppose the number of babies born each hour at a hospital has a Poisson distribution with a mean of…

A: Let 'X' be the no.of babies will be born during  a particular 1 hour period   given,…

Q: An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular…

A: (a)The probability of finding 4 cars with the defect in a random sample of 4,500 cars is obtained…

Q: During a month in Adana, it rains with probability 2/3 each day, independently of every other day.…

A: The probability of raining each day is p = 2/3

Q: 15) Suppose the number of babies born during an eight-hour shift at a hospital's maternity wing…

A: Given: Meanλ = 3 Consider X be the random variable that follows the Poisson distribution.

Q: In a study of the effectiveness of an insecticide against a certain insect, a large area of land was…

A: Given data ,λ=0.5

Q: Occasionally an airline will lose a baq. Suppose a small airline has found it can reasonably model…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose we are counting successes in a Poisson process where we expect 12 successes per hour. What…

A:

Q: 2. An American Association of Individual Investors survey found that 25% of AAI members had…

A: We have given that the random variable X i.e. shares is follow Binomial distribution with parameters…

Q: If 3% of all cars fail the emissions inspection, find the probability that in a sample of 90 cars,…

A:

Q: Suppose we are counting successes in a Poisson process where we expect 15 successes per hour. What…

A: Let X denote the number of successes then   X~P(λ)  where λ is the average number of success per…

Q: A coin is biased such that a head is likely to occur four times more than that of a tail. Find the…

A:

Q: Assume that the number of network errors experienced in a day on a local area network (LAN) is…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Harper's Index reported that the number of (Orange County, California) convicted drunk drivers whose…

A: Given Information: Probability of a repeat offender is still p=1560 r is the number of repeat…

Q: A coin is biased such that a head is nine times as likely to occur as a tail. Find the expected…

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Q: 2 phone calls

A: In a Poisson distribution, the probability that X represents the number of successes of a random…

Q: A certain type of tree has seedlings randomly dispersed in a large area, with the mean density of…

A: Given, Let Y be the number of seedlings that are randomly dispersed in a region. Y~P(λ)…

Q: The number of traffic accidents that occur on a particular stretch of road during a month follows a…

A: Given data Mean = 7 Poisson distribution  P(x=3) = ?

Q: A random sample of 1353 adult showed that 688 of them has stopped at least once on the internet.…

A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first question…

Q: The total compilation time of a computer program has Gamma distribution with average u=10 minutes…

A: Mean=μ=10, Variance=σ2=50  Let X be the program

Q: The number of work-related injuries per month in a manufacturing plant is known to follow a Poisson…

A:

Q: The number of corner kicks in a 90 minute soccer game follows a Poisson distribution with a mean of…

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Q: Suppose that the completion time of a project as a proportion of the maximum allotted time is a beta…

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Q: A short-term insurance company receives three motor vehicle claims on average per day. Assume that…

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Q: At a factory which produces hard drives, defective hard drives are produced according to a Poisson…

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Q: Suppose people immigrate into a territory at a Poisson rate of 2 per day. Assume that 40% of…

A: Given: X ~ Poisson(2*40%)  => X ~ Poisson(0.8)

Q: Show that the CDF of a geometric random variable with parameter p can be expressed as

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Q: Suppose that the number of emergency patients in a given day at a certain hospital is a Poisson…

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Q: The number of flaws in bolts of cloth in textile manufacturing is assumed to be Poisson distributed…

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Q: The number of errors in any page of a 10-page report is Poisson distributed with mean 5. Suppose…

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Q: The number of customers arriving per hour at a certain automobile service facility is assumed to…

A: a) Let us define the random variable X as the number of customers arriving per hour follows Poisson…

Q: What is the probability that three Poisson random independent variables A,B, C, with parameters 1,…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.