Answered: Question 7 A-D A. What is the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question 7 A-D A. What is the probability that the state will not be hit by any major hurricanes in a single year? B. What is the probability that the state will be hit by at least one major hurricane in a single year? C. What is the probability that the state will be hit by at least 3 major hurricanes in a single year, as happened last year? D. What is the probability that the certain state will be hit by at least two major hurricanes in a single year, as happened a couple years ago? Is the probability usual or unusual?

For the past 108 years, a certain state suffered 38 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.)
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Expert Solution

Step 1: Introduce the given information

"Since you have posted a question with multiple subparts we will provide solutions only to the first three subparts as par our Q&A guidelines. Please repost the remaining subparts separately".

From the given information,

Expeyhit per year , $lambda equals$ $38 over 108$ =0.3518

Using formula,

$P open parentheses X equals x close parentheses equals fraction numerator e to the power of negative lambda end exponent lambda to the power of x over denominator x factorial end fraction$