In a recent​ year, a hospital had 4392 births. Find the mean number of births per​ day, then use that result and the Poisson distribution to find the probability that in a​ day, there are 15 births. Does it appear likely that on any given​ day, there will be exactly 15 ​births?

Q: An auto parts store sells 781 oil filters over 110 weeks. Use the Poisson distribution to find the…

A: poisson distribution is given by

Q: In a recent year, a hospital had 4175 births. Find the mean number of births per day, then use that…

A: Given : In a recent year, a hospital had 4175 births.

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

A: Given that on average you receive 2.6 pieces of junk mail a day.  And the number of pieces of junk…

Q: An auto parts store sells 468 oil filters over 120 weeks. Use the Poisson distribution to find the…

A: Given information- We have given that store sells 468 oil filters over 120 weeks. We have given the…

Q: If 2.5% of spare parts delivered to a machine shop were defective, what is the approximate…

A: Given,n=500p=0.025λ=npλ=500×0.025=12.5Let X=no.of defective spare…

Q: A newspaper editor finds that the average number of typographical errors per page of the newspaper…

A:

Q: Each month, the MATH310 instructor needs to prepare 5 exercises for the following month’s exam. The…

A: Solution: Let X be the number of problems MATH310 instructor creates in a month. From the given…

Q: If electricity power failures occur according to a Poisson distribution with an average of 2…

A:

Q: Find the probability​ that, in a​ year, there will be 5 hurricanes. b. In a 55​-year period, how…

A: Given : Poisson distribution applies with the mean number of hurricanes in a certain area is 7.4 per…

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

A: a. The Poisson probability distribution of random variable X is, PX=x=e-λλxx!;         x=0,1,2,...…

Q: (a) On average, a clinic receives eight patients in 20 minutes. Assume that the number of patients…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION    A) here for poisson process…

Q: Use the Poisson distribution tables, not the mathematical formula.  It is estimated that 2% of the…

A: Given : 2% of the people in an auditorium of 100 unmarried/not related adults own a second home i.e…

Q: In an airport, average number of flights departed is 5 per hour. The number of airplanes departed…

A: Let us assume X=the number of flights departed X follows a Poisson distribution with mean=5

Q: Use the normal approximation to the binomial distribution to find the probability that, out of 1500…

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Q: On average, the shoppers across McMaster University have 1 customer per hour and assuming that for…

A:

Q: Suppose that the number of cars crossing a bridge per day follows a Poisson distribution with an…

A:

Q: In a recent year, a hospital had 4472 births. Find the mean number of births per day, then use that…

A: Given data, No of births in hospital=4472

Q: On average, 2 people migrateabroad every 50,000 people every year. In a particular year in a city of…

A:

Q: In a city, 70% of the people prefer Candidate A. Suppose 30 people from this city were sampled.…

A:

Q: Suppose that Y possesses a binomial distribution with n = 20 and p Find the exact value of P(Y < 3)…

A: I have used R and provided the command. λ = 20*0.1 = 2

Q: The number of babies born each day in a certain hospital isPoisson distributed with λ = 6.9.(a)…

A: Given: λ=6.9Formula: Poisson diribution:P(X=x)=e-λ λxx! ∀ x≥0(a) Since from the above givn data…

Q: Assume the number of births in a local hospital follows a Poisson distribution and averages 2.8 per…

A: The probability that no births will occur today is calculated as follows:

Q: The number of bacteria colonies of a certain type in samples of polluted water has a Poisson…

A:

Q: The number of arrivals at a local petrol station between 3:00 and 5:00pm has a Poisson distribution…

A: X~ Poisson(λ=12)

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

A:

Q: In a recent​ year, a hospital had 4182 births. Find the mean number of births per​ day, then use…

A: Given information- A hospital had 4182 births in a year. Since it is the Poisson distribution. A)…

Q: If 8% of trees in a town are elm, find the probability that in a sample of 100 trees, exactly 6 are…

A: Given: The proportion of elm trees is p=0.08. Let n represents the sample number of trees (n=100).…

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: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

A:

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

A: Given,The mean number of hurricanes in a certain area is 5.4Let X=no.of hurricanes in a certain…

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

A: Solution: Let X be the number of hurricanes in a certain area. From the given information, X follows…

Q: one nanogram of uranium-238 will have an average 4 radioactive decays per second, and the number of…

A: The Poisson distribution is used to calculate the probability of getting r number of successes over…

Q: 5) From past records, the owner of a fast-food restaurant knows that, on average 2.4 cars use the…

A: We have given that Mean = lambda

Q: On average, the shoppers across McMaster University have 1 customer per hour and assuming that for…

A:

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

A:

Q: In a town 10 accidents took place in a span of 50 days. Assuming that the number of aCcidents per…

A: Let X denote the number of accidents per day. It is given that Number of accidents in 50 days = 10,…

Q: If electricity power failures occur according to a Poisson distribution with an average of 3…

A: λ=3 failures per twenty-week The objective is to find out that there will be no more than one…

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

A: h

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

A: The probability mass function is given as P(X=x)=λxe-λx!       x=0,1,... Here, mean is given 7.4,…

Q: The number of accidents on a particular day has a Poisson distribution with parameter A = 1/2, and…

A:

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

A:

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

A: Given Mean= 2 / week For 4 weeks

Q: n an office, assume the number of arriving telephone calls has a Poisson distribution with an…

A: λ = 10 ,

Q: If electricity power failures occur to a Poisson distribution with an average of three failures…

A:

Q: If the number of hurricanes that hit a certain area of the eastern United States per year is a…

A:

Q: In a recent​ year, a hospital had 4275 births. Find the mean number of births per​ day, then use…

A:

Q: The university police department must write, on average, five tickets per day to keep department…

A:

Q: A taxi service receives an average of 10.4 calls a day from customers who need a ride to the…

A: