For the past 107 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. (Round to four decimal places as needed.)

For the past 107 years, a certain state suffered 30 direct hits from major harricanesi.e., 30 direct…

Answered: For the past 107 years, a certain state…

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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In a recent year, a hospital had 4142 births. Find the mean number of births per day, then use that result and the Poisson distribution to find the probability that in a day, there are 13 births. Does it appear likely that on any given day, there will be exactly 13 births?
If you know that every 30 minutes, a plane takes off from Jeddah Airport to Riyadh Airport, starting at 10 am. If a group of passengers arrives at Jeddah airport at a time that follows the regular continuous distribution between 6:00 a.m. and 7:30 a.m., then what is the likelihood that passengers wait for the plane less than 15 minutes
Despite all efforts by the quality control department, the fabric made at benton corporation always contains a few defects. A certain type of fabric made at this corporation contains an average of 0.51 defects per 500 yards. Using the Poisson formula, find the probability that the number of defects in a given 500-yard piece of this fabric will be between two and four.P(between 2 and 4) =
Suppose that the number of traffic accident claims received in a month is modeled by Poisson distribution with intensity λ = 4. Assume that each traffic accident claim takes values $150, $300 or $450 equally likely. Calculate the probability that the total traffic accident claim amounts to exactly $1500.
Answer D
Suppose the data represent the inches of rainfall in April for a certain city over the course of 20 years. 0.67 1.72 3.45 5.33 O 0.96 1.95 3.76 5.64 Determine the quartiles. 1.17 2.32 4.15 5.88 1.31 2.74 4.58 6.19 1.61 3.22 4.98 6.66 What are the quartiles? Q, = (Round to three decimal places as needed.) Q2 (Round to three decimal places as needed.) Q3 (Round to three decimal places as needed.) Statcrunch Submit quiz
A university is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 18 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. What is the arrival rate? (Include the units.) What is the service rate? (Include the units.) Find the probability that the employee is idle.
In a busy highway on the average 5 accidents happen per week. What is the probability that there will be no accidents next week? Assume that the number of accidents has a Poisson distribution.
Answer A-C
The random variable x represents the number of emails a student receives on a day. Assume it has a Poisson distribution with a mean of 14.3 emails. Find the probability that in a random day the student receives 3 emails. Round your answer to four decimal places.
The number of students who fail per semester is often modeled as a Poisson random variable. Assume that on the average there are 5 students who fail per sem. d. If exponential distribution can model this system, what is the probability that there will be no failing students right after midterm? Let X denote the time in semesters from the start of the interval until the first failure and that a semester is divided by midterm period. e. Calculate the probability that there will be a failing student within the first semester. F. Calculate the probability that a failing student will be first spotted after midterm up to end of the first semester?
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