The mean number of homicides per year in one city is 151.0. Use a Poisson distribution to find the probability that in a given week there will be fewer than three homicides. (HINT: Assume a year is exactly 52 weeks.)
The mean number of homicides per year in one city is 151.0. Use a Poisson distribution...
In one town, the number of burglaries in a week has a Poisson distribution with mean μ = 3.5. Let variable x denote the number of burglaries in this town in a randomly selected month. Find the smallest usual value for x. Round your answer to three decimal places. (HINT: Assume a month to be exactly 4 weeks)
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?
Assume the Poisson distribution applies and that the mean number of aircraft accidents is 5 per month. Find P(9), the probability that in a month, there will be exactly 9 aircraft accidents. Is it unlikely to have a month with 9 aircraft accidents?
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?
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about seven. Find the probability that the number of births in any given minute is (a) exactly five, (b) at least five, and (c) more than five. (a) P(exactly five)...
Suppose the number of patients per week that visit a health center follows a Poisson distribution with a rate of 300 patients per week. Let the random variable X count the number of patients per week that visit the health center. A) State the distribution of the random variable defined above B) Compute the probability that during a randomly selected week exactly 280 patients visit the health care center C) Compute the probability that during a randomly selected week at...
The number of industrial injuries per working in a factory is known to follow poisson distribution with mean 0.5. Find the probability that in a particular week There will be less than 2 accidents? There will be more than 2 accidents?
The number of visitors to a webserver per minute follows a Poisson distribution. If the average number of visitors per minute is 4, what is the probability that: (i) There are two or fewer visitors in one minute? (2 points) (ii) There are exactly two visitors in 30 seconds? (2 points)
Use a poisson distribution model, If there are 1653 robberies in a city in a year: What is the probability that in any given day there will be 4 robberies? There will be 3-5 robberies in any day?
find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. Ifconvenient, use the appropriate probability table or technology to find the probabilities. The mean number of heart transplants performed per day in a country is about eight Find the probability that the number of heart transplants performed on any given day is (a) exactly six, (b) at least seven (c) no more than four