The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per kilometer. What is the probability that at least one crack requires repair in 1/2 mile of highway?

Q: The average number of deaths from lung cancer in a certain population per year has been observed to…

A: Obtain the probability that during the current year fifteen or more people will die from lung cancer…

Q: If a typist makes errors at random at a mean rate of 3 per page, then the probability of making at…

A: Let X denote the number of errors on two pages.  It is given that Number of errors per page = 3,…

Q: On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail…

A: Answer:-  Option B is correct answer.  Let, X be the random variable follows Poisson distribution.

Q: The number of crashes of a mainframe computer in a college follows a Poisson distribution with an…

A: Let us denote X=number of crashes Given that X follows a Poisson distribution with μ=0.7 We have to…

Q: A recent study of the hourly wages of crew members for major airlines showed that the mean hourly…

A:

Q: The number of crashes of a mainframe computer in a college follows a Poisson distribution with an…

A: Let us consider X be a random variable which is used to denote the number of crashes of a mainframe…

Q: The number of letters arriving at a particular address eech day can be modelled by a Poisson…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: The number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45…

A: a. Find the probability that a board 3 meters in length has no flaws. It is given that the number of…

Q: Flaws occur in the interior of plastic used for automobiles according to a poisson distribution with…

A:

Q: You should assume that serious earthquakes throughout the world occur at a rate of one per 400 days.…

A: Given Rate  : λ400 = 1 Let X : Number of occurrences in a given time period Here the distribution…

Q: The number of power outages at a nuclear power plant has a Poisson distribution with a mean of 6…

A:

Q: The number of hits on a certain website follows a Poisson distribution with a mean rate of 4 per…

A: Given,A random variable x~Poisson(λ=4)P(X=x)=e-44xx!; x≥0

Q: The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a…

A: Let X denote the weekly salaries of teachers. Given that X follows Normal(mean = 490, SD = 45) Then…

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: Poisson distribution

A: Let X be the random variable representing the number of lost bags per flight, which follows Poisson…

Q: (a) The number of houses sold by an estate agent follows a Poisson distribution, with a mean of 2…

A: Giventhe number of houses sold by an estate agent with a mean of 2 per weekλ=2 per…

Q: The mean number of automobiles entering a mountain tunnel per two-minute period is one. An excessive…

A: A poisson distribution is used to estimate the probability of number of event that can occur in an…

Q: A hypergeometric and a Poisson probability distribution have the same mean. Which has the larger…

A: If one were to see that r/N (of the hypergeometric Distribution) is similar to p, The expected…

Q: The number of 911 calls in Butte, Montana has a Poisson distribution with a mean of ten (10) calls a…

A: Obtain the probability of seven (7) or eight (8) 911 calls in one (1) day. The probability of seven…

Q: The number of (large) inclusions in cast iron follows a Poisson distribution with a mean of 2.5 per…

A: Let X denote the  number of (large) inclusions in cast iron follows a Poisson distribution with a…

Q: The number of customers arriving at a teller’s window at Commercial Bank is Poisson distributed with…

A: (1) Obtain the probability of zero customers per minute. The probability of zero customers per…

Q: For a Poisson distribution of anomalies with mean = 4, what is the probability that the number of…

A:

Q: Assume that the number of asbestos particles in a square meter of dust on a surface follows a…

A: We have given that the number of asbestos particles in a square meter of dust on a surface follows a…

Q: The life in hours of a computer processing unit (CPU) is modeled by a Weibull distribution with…

A: Given: β=3δ=968x=562

Q: The number of crashes of a mainframe computer in a college follows a Poisson distribution with an…

A: The Poisson distribution is given by, px; λ=e-λλxx! Here, x is the number of crashes of a mainframe…

Q: The number of accidents to occur at a busy intersection during a 24-hour period has a Poisson…

A:

Q: The number of imperfections in the weave of a certain textile has a Poisson distribution with a mean…

A: Solution To calculate the required probability we will use ppois(x,u) and dpois(x,u ) function and u…

Q: Requests coming to a server with an average of 36 requests per minute are assumed to be distributed…

A: Solution : Given :  λ = 36 requests per minute Let, x : requests coming to server Here X ~ P ( λ =36…

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: The number of (large) inclusions in cast iron follows a Poisson distribution with a mean of 2.5 per…

A: A z-score describes the position of a raw score in terms of its distance from the mean, when…

Q: The number of telephone calls that pass through a switchboard has a Poisson distribution with mean…

A:

Q: The average number of passengers passing through customs before noon at an airport in one country in…

A: We have given that the number of passengers that follow Poisson distribution with parameter lambda…

Q: You should assume that serious earthquakes throughout the world occur at a rate of one per 500 days.…

A:

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

A:

Q: Derive the mean and the variance of Poisson Distribution

A: The p.m.f. of Poisson distribution is given by P(X=x)=e-m  mxx!        ; x=0,1,2,....…

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

A:

Q: What is the difference between a Binomial distribution and a Poisson distribution?

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Q: On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail…

A: Given Data: Let X represent the random variable   X~ Poisson(2.6)

Q: The number of views of a page on a Web site follows a Poisson distribution with a mean of 2.8 per…

A: Obtain the probability of no views in a minute. The probability of no views in a minute is obtained…

Q: An industrial designer wants to determine the average amount of time an adult spends building an…

A: Given information: Confidence level = 95% Significance level α=0.05 The given data is as follows:…

Q: The average number of defects per wafer (defect density) is 3. The redundancy built into the design…

A: Since the number if defects allowed per wafer is 4. X=4. the average umber of defects per wafer is…

Q: The number of substances produced by a radioactive breakdown shows a Poisson distribution with a…

A: Given that, X~Poisson(lemda=25) We've to find probability between 23 to 27 P(23<x<27)…

Q: The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson…

A: Let us assume that X is a Random variable which follows a Poisson distribution with mean equal to…

Q: The number of hits on a certain website follows a Poisson distribution with a mean rate of 4 per…

A: X has poission distribution. X~Poission(λ) λ=4 per minute X has p.d.f. is   P(X=x)=e-λλxx!;…

Q: Flaws occur in the interior of plastic used for automobiles according to a poisson distribution with…

A:

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

A: Poisson distribution  the probability mass function   f(x) = e-λλxx!  , x=0,1,2,... given λ=7.6…

Q: In a busy highway on the average 5 accidents happen per week. What is the probability that there…

A: Let X denote the number accidents happen per week and it follows Poisson distribution with  λ=5…

Q: The number of goals scored at state college hockey games follows as poisson distribution with a mean…

A: