Suppose that on average, a certain region is hit by 3 hurricanes per year. Assuming that the number of hurricanes in a year is a Poisson random variable, what is the probability that in a particular year there will be no more than 2 hurricanes?
Suppose that on average, a certain region is hit by 3 hurricanes per year. Assuming that...
A certain region of a country is, on average, hit by 8.5 hurricanes a year. (a) What is the probability that the region will be hit by fewer than 5 hurricanes in a given year? (b) What is the probability that the region will be hit by anywhere from 3 to 6 hurricanes in a given year? Click here to view the table of Poisson probability sums. (a) The probability that the region will be hit by fewer than 5...
A certain region of a country is, on average, hit by 8.5 hurricanes a year. (a) What is the probability that the region will be hit by fewer than 7 hurricanes in a given year? (b) What is the probability that the region will be hit by anywhere from 6 to 8 hurricanes in a given year? Click here to view the table of Poisson probability sums. (a) The probability that the region will be hit by fewer than 7...
Suppose that the number of hurricanes in a certain region occur in accordance with a Poisson process with rate of 0.1 per month. (a) What is the probability that the next hurricane will occur in less than two years? (b) What is the probability that at least nine of the next ten years has no hurricanes?
The average income in a certain region in 2013 was $68000 per person per year. Suppose the standard deviation is $33000 and the distribution is right-skewed. Suppose we take a random sample of 100 residents of the region. What is the probability that the sample mean will be more than $3300 away from the population mean?
Hurricanes in a particular place arrive with a mean of 3.25 per year. Suppose the number of hurricanes can be modeled by a Poisson distribution with this mean. a) What's the probability of no hurricanes next year? b) What's the probability that during the next two years, there's exactly 1 hurricane?
4) The number of hurricanes which hit the USA each year is Poisson with parameter 4. What is the probability that next year at least 3 hurricanes will hit the USA?
The probability that a region prone to hurricanes will be hit by a hurricane in any single year is 5/100. What is the probability of a hurricane at least once in the next 5 years? A)1/2 B) 0.00005 C) 0.99995 D) 0.22622
Historically, the number of hurricanes hitting Boca Raton each year follows a Poisson distribution with a mean of 1.1. What is the probability that 3 or more hurricanes hit the town in a year?
3. The number of earthquakes per year in a certain region is a Poison random variable. The probability that no earthquake occurs in a given year in the region is 0.86. Find the probability that at least 2 carthquak es occur in a given year.
PROBLEM 2 The number of accidents in a certain city is modeled by a Poisson random variable with average rate of 10 accidents per day. Suppose that the number of accidents in different days are independent. Use the central limit theorem to find the probability that there will be more than 3800 accidents in a certain year. Assume that there are 365 days in a year.