the number of parking tickets issued in a certain city on any given weekday has a poisson...
Homework Answers
The continuous Normal Distribution isa good approximation to the discrete
Poisson Distribution for "medium" ? values (like ? =50 here) provided the
continuitycorrection is applied to compensate. This means (1/2) must be
added and subtracted from the random variable range beingconsidered:
225 ---------- 275
Discrete Range: | ------------ |
Range w/ContinuityCorrection: |---------------- |
224.5 ------------ 275.5
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the number of parking tickets issued in a certain city on any given weekday has a poisson...
The number of parking tickets issued in a certain city on any given weekday has a...
The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50. (Round your answers to four decimal places.) (a) Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day. (b) Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 225and 285. (c) Use software to obtain the exact probabilities in (a) and...
The number of parking tickets issued in a certain city on any given weekday has a...
The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter μ = 50. (Round your answers to four decimal places.) (a) Calculate the approximate probability that between 35 and 70 tickets are given out on a particular day. (b) Calculate the approximate probability that the total number of tickets given out during a 5-day week is between 215 and 285. (c) Use software to obtain the exact probabilities in (a)...
The number of parking tickets given at UVic in a day is a Poisson random variable...
The number of parking tickets given at UVic in a day is a Poisson random variable with a mean of 64. What is the approximate probability that the average number of tickets given over a sample of 121 days is greater than 63?
4. In a given city, 5% of all drivers get at least one parking ticket per...
4. In a given city, 5% of all drivers get at least one parking ticket per year. Use the Poisson approximation to the binomial distribution to determine the probabilities that among 80 drivers (randomly chosen in this city): (a) 4 drivers will get at least one parking ticket in any given year; (b) anywhere from 3 to 6 drivers, inclusive, will get at least one parking ticket in any given year (c) at least 8 drivers will get at least...
In a certain city, the number of potholes on a major street follows a Poisson distribution...
In a certain city, the number of potholes on a major street follows a Poisson distribution with a rate of 4 per mile . Let X represent the number of potholes in a two-mile stretch of road. Find P(X = 4).
Assume that the number of rainy days per month in a given city follows a Poisson...
Assume that the number of rainy days per month in a given city follows a Poisson distribution with a mean value of 2.4 days. What is the probability that it will rain two or more days next month?
2.(2 points) The police department writes parking tickets (at random, regardless of guilt) to 20% of...
2.(2 points) The police department writes parking tickets (at random, regardless of guilt) to 20% of all cars parked on any faculty/staff parking lot on any given day. a) What is the average/mean number of tickets written on any given day in a parking lot with 13 cars. ANSWER: Average = _______________________________________ (simplified number) b) Find the probability that exactly 4 tickets will be written tomorrow on lot A and on lot B, each of which fits 13 cars. State...
The number of workplace accidents occurring in a factory on any given day is Poisson distributed...
The number of workplace accidents occurring in a factory on any given day is Poisson distributed with mean λ. The parameter λ is a random variable that is determined by the level of activity in the factory and is uniformly distributed on the interval [0,3]. Calculate the provability of one accident on a given day.
Assume that the number of rainy days per month in a given city follows a Poisson distribution with a mean value of 2.4 days
Assume that the number of rainy days per month in a given city follows a Poisson distribution with a mean value of 2.4 days. What is the probability that it will rain two or more days next month?
The number of imperfections in the weave of a certain textile has a Poisson distribution with...
The number of imperfections in the weave of a certain textile has a Poisson distribution with a mean of 4 per square yard. Find the probability that a (A) 1-square-yard sample will contain two imperfections. (B) 3-square-yard sample will contain at least one imperfection.
4. In a given city, 5% of all drivers get at least one parking ticket per year. Use the Poisson approximation to the binomial distribution to determine the probabilities that among 80 drivers (randomly chosen in this city): (a) 4 drivers will get at least one parking ticket in any given year; (b) anywhere from 3 to 6 drivers, inclusive, will get at least one parking ticket in any given year (c) at least 8 drivers will get at least...
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