Suppose the probability of a major earthquake on a given day is 1 out of 10,000.
Solve Using R Commands Only
a) what is the expected number of major earthquakes in the next 1000 days
b) Use the Poisson model to approximate the probability that there will be at least one major earthquake in the next 1000 days
Suppose the probability of a major earthquake on a given day is 1 out of 10,000....
USA Today reported that Parkfjeld, California, is dubbed the world's earthquake capital because it sits on top of the notorious San Andreas fault. Since 1857, Parkfield has had a major earthquake on the average of 1.2 times every 22 years. (a) Explain why a Poisson probability distribution would be a good choice for r = number of earthquakes in a given time interval. • Frequency of earthquakes is a rare occurrence. It is reasonable to assume the events are independent....
Earthquakes occur in a given region in accordance with a poisson process with rate 5 per year. if the last earthquake was 1 month ago, find the probability that the next earthquake is at least 3 months away.
AsK YGur Tcaer BBUnderStat12 5.4.020. Previous Answers 0.71/3.57 points 15. USA Today reported that Parkfiekd, California, is dubbed the world's earthquake capital because it sits on top of the notorious San Andreas fault Since 1857, Parkfield hs had a major ethe on the age of 2 times every 22 years (a) Explain why a Poisson probability distribution would be a goo choice for r-number of earthquakes in a given time interval Frequency of earthquakes is a common occurrence. It is...
3. From 2000-2019 there were a total of 3071 earthquakes worldwide with a magnitude of 6 or greater, or an average of about 0.42 such earthquakes per day.* Assume that moving forward the total number of such earthquakes to occur over any time period follows a Poisson distribution with an average of 0.42 earthquakes per day. For the remainder of this question, "earthquake" will mean an earthquake with a magnitude of 6 or greater. Define a new random variable as...
4. Suppose the number of students who come to office hours on the ith day is modeled as a random variable X;. a) What is a reasonable probability model for the distribution of X,? b) Using the CLT, produce an approximate 80% confidence interval for the true population mean number of students who come to office hours each day given the following summary of a random sample of days: Σ-in-186. ays: Σ401Χί = 186. 4. Suppose the number of students...
The number of delegates that arrives at a day-long business conference during a major snowstorm follows a poisson process with a rate of 2 delegates every 10 minutes. a) Solve for the probability that at least three delegates arrive at the conference in the next half hour? b) Suppose the conference runs from 9 am to 6 pm, what is the expected # of delegates that will arrive during that timeframe? What is the variance of the expected # of...
Suppose that there are two supervisors at Kardashian restaurant (Kim and Kylie), and the # of customer complaints differs based on the supervisor on duty. This is determined according to aPoisson process. The quality of service of one day does NOT affect the quality of service on the next day. Supervisor on duty: Average # of customer complaints (per day): Days on duty (out of 5 days): Kim 2 per day 2 out of 5 days Kylie 3 per day...
According to a report, a major flooding in a city in a given year has a Poisson distribution with a mean occurrence of 2.5. a) What is the probability that there will be at least one major flooding in the next one year? b) Using the same parameter in a), what is the probability that it will be at least 6 months until the next major flooding? I'm confused, how do we handle it being in months in part b)?
A tidal wave or tsunami is usually the result of an earthquake in the Pacific Rim, often 1000 or more miles from Hawaii. Tsunamis are rare but dangerous. Many tsunamis are small and do little damage. However, a tsunami nine meters or higher is very dangerous. Civil Defense authorities sound an alarm telling people near the beach to go to higher ground. About 30% of all recorded tsunamis have been nine meters or higher.† You are writing a report about...
Will rate!! Some parts of California are particularly earthquake prone. Suppose that in one metropolitan area, the chance a homeowner is insured against an earthquake is 0.30, A sample of four homeowners are to be selected at random. Suppose X is a random variable that is modeled by a binomial distribution which describes the number of homeowners out of the four that have earthquake insurance. (a) Find the probability mass function of X. (Round your answers to four decimal places.)...