For the past 105 years, a certain state suffered 34 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 [ ]. (Round to four decimal places as needed.)
Added by
Close
Step 1
The problem states that over the past 105 years, a certain state has experienced 34 direct hits from major hurricanes (category 3 to 5), and it assumes that the number of hits per year follows a Poisson distribution. We are asked to find the probability that the Show more…
Show all steps
Your feedback will help us improve your experience
Ivan Kochetkov and 56 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
For the past 106 years, a certain state suffered 30 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 0.7535. (Round to four decimal places as needed.) (b) What is the probability that the state will be hit by at least one major hurricane in a single year? The probability is (Round to four decimal places as needed.)
Qudsiya A.
For the past 115 years, a certain state has suffered 36 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? (Round to four decimal places as needed.) (b) What is the probability that the state will be hit by at least one major hurricane in a single year? (Round to four decimal places as needed.) Is this unusual? (c) What is the probability that the state will be hit by at least three major hurricanes in a single year, as happened last year? (Round to four decimal places as needed.) Does this indicate that the 2004 hurricane season in this state was unusual?
Thuc N.
For the past 107 years, a certain state suffered 23 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.)
Rashmi S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD