Question

Hurricanes in a particular place arrive with a mean of 3.25 per year. Suppose the number...

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?

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Hurricanes in a particular place arrive with a mean of 3.25 per year. Suppose the number...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Suppose that the number of hurricanes in a certain region occur in accordance with a Poisson process with rate of 0.1 pe...

    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?

  • It is proposed to model the onset of hurricanes anywhere in the Gulf of Mexico as...

    It is proposed to model the onset of hurricanes anywhere in the Gulf of Mexico as a Poisson process. The rate of occurrence, however, depends strongly on the month of the year. Specifically, we assume that hurricanes occur in only three months of the year: August, September, and October. During these months, the mean hurricane occurrence rate per month is as follows: Month Mean occurrence rate August 1.0 event per month September 2.0 events per month October 1.0 event per...

  • Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain...

    Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.67.6 per year. a. Find the probability​ that, in a​ year, there will be 66 hurricanes. b. In a 3535​-year period, how many years are expected to have 66 hurricanes? c. How does the result from part​ (b) compare to a recent period of 3535 years in which 44 years had 66 hurricanes? Does the Poisson distribution work well​ here?

  • Suppose during the next three decades, the average number of hurricanes per decade is as follows:...

    Suppose during the next three decades, the average number of hurricanes per decade is as follows: 4, 6, and 8. Drawing on the statistical reasoning concepts in Huff and your weekly readings, compare and contrast these three decades to the previous 16 decades of hurricane data in Part 1. Answer the following questions. What are the 3 potential hypotheses when comparing these data to the previous 16 decades of hurricane data in Part 1. Which hypothesis can you accept? Why?...

  • The number of people arriving for treatment at an emergency room can be modeled by a...

    The number of people arriving for treatment at an emergency room can be modeled by a Poisson Distribution with a rate parameter of seven per hour (a) What is the probability that exactly four arrivals occur during a particular hour? (Round your answer to three decimal places.) (b) What is the probability that at least four people arrive during a particular hour? (Round your answer to three decimal places) (c) How many people do you expect to arrive during a 45-min period? people

  • Historically, the number of hurricanes hitting Boca Raton each year follows a Poisson distribution with a...

    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?

  • Customers arrive at Lisa’s Hair Salon during a day in any particular business hour according to...

    Customers arrive at Lisa’s Hair Salon during a day in any particular business hour according to a Poisson distribution with a rate of ? = 3 per hour. Now the salon has two barbers who can each service a customer in exactly 30 minutes. Suppose a customer, Amy, arrives at 2:00pm and finds both barbers idle. (a) What is the probability that we will observe customers waiting before 2:30pm? (b) What is the probability that Amy observes the next customer...

  • The circled answer is wrong please show steps to arrive at a correct answer. Company ABg...

    The circled answer is wrong please show steps to arrive at a correct answer. Company ABg offers hurricane insurance to homeowners in Texas. Assume that the premium collected for hurricane insurance can be modeled by an Ex- ponential distribution with a mean of 3. Suppose that the hurricane losses can be modeled by an Exponential distribution with a mean of 1. If the premium collected and hurricane losses are independent, what is the probability that the ratio of losses to...

  • please answer all parts 8. The mean number of patient visits at a clinic is 5.6...

    please answer all parts 8. The mean number of patient visits at a clinic is 5.6 per week. to find the probability that Use the Poisson probability distribution p(x) = ? Je in a particular week a. There's exactly 2 visits? b. There are 5 or more visits?

  • ơ-0.71 0:0.59 QUESTION 15 Use the Poisson Distribution to find the indicated probability. On one tropical...

    ơ-0.71 0:0.59 QUESTION 15 Use the Poisson Distribution to find the indicated probability. On one tropical island, huricanes occur with a mean of 24 per year. Assuming that the number of hurricanes can be modeled by a Poisson distribution, find the probability that during the next year the number of hurricanes will be 3 O 0.2613 0.2095 0.0188 0.2090 O 0.1254 QUESTION 16 Use the Poisson Distribution to find the indicated probability. The number of calls received by a car...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT