The east coast suffered seven major hurricanes in 2021. Assume that this is the new average, and that the occurrence of hurricanes follows a Poisson distribution. Find the probability that in the next two years, the east coast will be hit by a number of hurricanes between 15 and 18 (inclusive).

The east coast suffered seven major hurricanes in 2021. Assume that this is the new average, and that the occurrence of hurricanes follows a Poisson distribution. Find the probability that in the next two years, the east coast will be hit by a number of hurricanes between 15 and 18 (inclusive).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Please help with all questions.
The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal places
The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with a mean of 12 minutes. a. What is the probability that the time interval between two successive barges will be less than 14.8 minutes? b. Determine the 77 percentile value for the time interval between two successive barges.
Suppose that a brand of lightbulb lasts on average 1690 hours with a standard deviation of 194 hours. Assume the life of the lightbulb is normally distributed. Calculate the probability that a particular bulb will last from 1418 to 2183 hours?
If Y is a random variable from an exponential distribution with a mean of 5; what is the probability that Y is more than 7?
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) =
Each month, an American household generates an average of 28 pounds of garbage. Assume the standard deviation is 2.5 pounds. If a household is selected at random, find the probability of the following: A household averaging between 27 and 31 pounds per month (5) A household averaging more than 30.2 pounds per month A street with 25 houses averaging more than 30 pounds per month.
Assume that your aunt wrote 139 letters to her family members in 2019. Let the random variable x represent the number of these letters that she wrote on a given day. Assume also that this scenario has a Poisson distribution. What is the mean number of letters written per day? Round to 3 decimal places. What is the standard deviation? Round to 3 decimal places.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
Answer A-C
The average amount of time until a car accident on a particular 60 mile stretch of road is 30 minutes. Assume(unreasonably) that car accidents are independent, the time to a car accident is exponentially distributed, and that two accidents cannot occur at the same time. a. What is the probability of a car accident occurring in the first hour?b. What is the probability of a car accident occurring between 15 and 45 minutes? c. What is the variance of the time until a car accident occurs? If a car accident has not happened in 2 hours, what is the probability it will happen in the next hour? DO NOT USE THE INTEGRATION METHOD PLEASE.
Assume a Poisson distribution. The mean number of bankruptcies filed per minute in the U.S. in a given year was three.Using R find the probability that at least five businesses will file bankruptcy in any given minute? Answer