The number of hits on a certain website follows a Poisson distribution with a mean rate of 4 per minute. What is the probability that 5 messages are received in a given minute?

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: 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: Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

A:

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: The number of content changes to a Web site follows a Poisson distribution with a mean of 0.25 per…

A: Let X denote the  number of content changes to a Web site follows a Poisson distribution with a mean…

Q: The reference desk of a university library receives requests for assistance. Assume that a Poisson…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: (d) The number of errors in a text book follows a Poisson distribution with mean of 0.01 errors per…

A: GivenA random variable x ~ poisson(λ=0.01)P(x=x)=e-λ*λxx! ; x≥0

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

A:

Q: A certain kind of sheet metal has, on average, 3 defects per 20 square feet. Assuming a Poisson…

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: Use a normal distribution as an approximation to the binomial probability distribution to…

A: Given: Sample Sizen=20 Proportionp=0.8 The normal distribution can be used as an approximation to…

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: Consider a Poisson distribution with a mean of 3 occurrences per time period. Find the probability…

A: Given : Consider a Poisson distribution with a mean of 3 occurrences per time period i.e λ = 3

Q: As a part of the productivity assessment at a company, the HR manager carried out a survey and found…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

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 cracks in a section of interstate highway that are significant enough to require…

A:

Q: A certain kind of sheet metal has, on average, 5 defects per 15 square feet. Assuming a Poisson…

A: Solution

Q: The number of road construction projects that take place at any one time in a certain city follows a…

A: Given : mean = λ = 7 Poisson distribution  = e-λ λxx!

Q: The time between arrivals of vehicles at particular intersection follows an exponential probability…

A: Given: Time between arrivals of vehicles at particular intersection follows an exponential…

Q: probability that the 7th message is received within 20 seconds?

A: Given: X=Number of messages sentX~Poisson(λ=20)λ=20 per minute The probability density function for…

Q: Use a normal distribution as an approximation to the binomial probability distribution to…

A: Obtain the approximate probability of more than 13 successes in 20. The approximate probability of…

Q: A certain kind of sheet metal has, on average, 6 defects per 11 square feet. Assuming a Poisson…

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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: The number of MATH310 failures of LIU students in a given section approximately follows a Poisson…

A: Answer is 0.9933.

Q: "Suppose the number of industrial accidents in a year follows a Poisson distribution with mean 3.0.…

A: For a poisson distribution, lambda = mean = 3 per year lambda = 3*5 per 5 year

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 people arriving for treatment at an emergency room can be modeled by a Poisson process…

A: Let X be the random variable from Poisson distribution with a rate parameter λ = 5 Then,  We will…

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

A: Let ‘x’ be the number of work –related injuries per month in a manufacturing plant X ~ poisson…

Q: In a recent​ year, a hospital had 4392 births. Find the mean number of births per​ day, then use…

A:

Q: The number of MATH310 failures of LIU students in a given section approximately follows a Poisson…

A: Given information Let X denotes the no of students In a particular section X ~P(λ = 5) For 10…

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 content changes to a Web site follows a Poisson distribution with  a mean of 0.25 per…

A: given data, The number of content changes to a Web site follows a Poisson distribution with  a mean…

Q: operator working in an intercity telephone exchange receives an average of 5 conversation requests…

A: The number of speeches received by the operator conform to the Poisson distribution, in one minute.…

Q: A Statistics show that on an average weekend night, 1 out of every 10 drivers on the road is drunk.…

A: Given data, n=400 p=110q=1-p=910 P(25<X<38)=?

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

A:

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

A:

Q: someone finds that an average of 1.6 cars approach the intersection every minute. assuming the…

A: Given that someone finds that an average of 1.6 cars approach the intersection every minute.…

Q: The number of content changes to a Web site follows a Poisson distribution with a mean of 0.5 per…

A: Let us denote X=the number of content changes to a websiteGiven that X follows a Poisson…

Q: If the random variable x has a Poisson Distribution with mean μ = 3.95, find the probability that x…

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Q: The number of cars arriving at a given intersection follows a Poisson distribution with a mean rate…

A: From the given information, Consider, X be a random variable that shows the number of cars arriving…

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

A:

Q: The number of content changes to a Web site follows a Poisson distribution with a mean of 0.25 per…

A: Given that  Mean =λ=0.25 per day  Mean =λ= 5×0.25=1.25 in five day. X~poisson (λ)

Q: For a Poisson distribution of drivers with mean = 20, what is the probability that the number of…

A: Given that the mean =μ= λ=20So, the standard deviation=σ=λ=20We have to find P(μ-2σ≤X≤μ+2σ)

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: In a recent year, Professor Thompson wrote 195 checks. Find the probability that on a randomly…

A: For X~Poisson (λ), the pmf of X is, P(X=x)=e-λλxx! ;  x=0,1,2,3... ; λ>00 ; otherwise The…

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

A:

Q: According to a certain website, the average daily time spent on social networking by internet users…

A: The random variable daily time spent on social networking follows normal distribution. The…