Question

The probability that a region prone to hurricanes will be hit by a hurricane in any...

  1. 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

  

0 0
Add a comment Improve this question Transcribed image text
Answer #1

This is a question of poisson distribution with

For a Poisson Distribution


time (t) = 5
Since we know that for poisson distribution



Please hit thumbs up if the answer helped you

Add a comment
Know the answer?
Add Answer to:
The probability that a region prone to hurricanes will be hit by a hurricane in any...
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
  • If the probability that South Florida will be hit by a hurricane in any single year...

    If the probability that South Florida will be hit by a hurricane in any single year is What is the probability that South Florida will be hit by a hurricane in four consecutive years What is the probability that South Florida will not be hit by a hurricane in the next four years? What is the probability that South Florida will be hit by a hurricane at least once in the next four years?

  • Studies of weather show that, historically, Jamaica is hit by a hurricane every 20 years. Calculate...

    Studies of weather show that, historically, Jamaica is hit by a hurricane every 20 years. Calculate the following probabilities based on the historical record. a. a. What is the probability that Jamaica will be hit by a hurricane in any given year? Show as a fraction and also show as a proportion with 2 decimal places. (To find the proportion in Excel, I recommend that you not use the Fraction data type. For this problem, divide 1 by the number...

  • A certain region of a country is, on average, hit by 8.5 hurricanes a year. (a)...

    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)...

    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...

  • 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...

  • 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?

  • Suppose that on average, a certain region is hit by 3 hurricanes per year. Assuming that...

    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?

  • For the past 102 ​years, a certain state suffered 25 direct hits from major​ (category 3...

    For the past 102 ​years, a certain state suffered 25 direct hits from major​ (category 3 to​ 5) hurricanes. Assume that this was typical and the number of hits per year follows a Poisson distribution. Complete parts​ (a) through​ (d). ​(a) What is the probability that the state will not be hit by any major hurricanes in a single​ year? The probability is nothing.​ (Round to four decimal places as​ needed.) ​(b) What is the probability that the state will...

  • For Broward County, Florida, hurricane season is 24 weeks long. It is assumed that the time between hurricanes is e...

    For Broward County, Florida, hurricane season is 24 weeks long. It is assumed that the time between hurricanes is exponentially distributed with a mean of 6 weeks. It is also assumed that 30% of all hurricanes will hit Broward County. Calculate the probability that in any given hurricane season, Broward County will be hit by more than 1 hurricane. Possible Answers <15% A 15% but < 20% B 20% but <25% C > 25% but< 30% D E>30% Help Me...

  • Suppose the probability of a particular stretch of the beach being hit by a hurricane is...

    Suppose the probability of a particular stretch of the beach being hit by a hurricane is 1/20. a) What is the probability of the beach not being hit by a hurricane? _______ b) What are the odds against the beach being hit by a hurricane? _______ c) What is the probability of the beach being hit by a hurricane two years in a row? _______

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