Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.9 per year.a. Find the probability that, in a year, there will be 3 hurricanes.b. In a 45-year period, how many years are expected to have 3 hurricanes?c. How does the result from part (b) compare to a recent period of 45 years in which 4 years had 3 hurricanes? Does the Poisson distribution work well here?.....a. The probability is(Round to three decimal places as needed.)

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Answered: Assume that the Poisson distribution…

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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A county has been experiencing a mean of 33.8 motor vehicle deaths each year. Use the Poisson distribution to answer the following. a. Find the mean number of deaths per day. b. Find the probability that on a given day, there are more than 2 motor vehicle deaths. c. Is it unusual to have more than 2 motor vehicle deaths on the same day? Why or why not? a. The mean number of deaths per day is (Round to three decimal places as needed.)
Can I get help for question B?
Suppose that births in a hospital occur randomly at an average rate of 1.9 births per hour. Assume that the probability of a birth is the same for any two time intervals of equal length. a. Which distribution can we use in this case? b. What is the probability that we observe at least 3 births in a 2-hour interval?c. Suppose that births occur randomly in hospital A and hospital B at an average rate of 2.1 births and 3 births per hour, respectively. What is the probability that we observe 7 births in total from the two hospitals in a 1-hour period?
X is normally distributed with ?=14 and ?= 4. Find the probability that x is between 1 and 18.
A thief steals stereo systems from the parked cars. Every morning he starts searching parked cars, until he gets a car with stereo system. Then he steals the stereo system and calls it a day. The probability that a parked car has a stereo system is 'p' and it is treated as success, the probability distribution of failures before getting a stereo system for 100 days as follows. Fit a geometric distribution for the following data. No. of failures (x) 0 No. of days (f) 1 2 120 48 20 7 3 3 4 5 6 1 1
3
The number of large cracks in a length of pavement along a certain street has a Poisson distribution with a mean of 1 crack per 100 m. What is the probability that there will be exactly 8 cracks in a 700 m length of pavement? O A. 0.224 O B. 0.034 O C. 0.130 O D. 0.065
A. Recent crime reports indicate that 0.5 motor vehicle thefts occur each minute in an industrial area. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution. i. What is the average number of motor vehicle thefts occurring in five minutes? ii. Find the probability exactly three motor vehicle thefts occur in five minutes. Note: 1.Please clear answer no (i,ii) 2. No need excel formula.
On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail you receive each day follows the Poisson distribution What is the probability of receiving more than three pieces of junk mail today? O a. 0.2939 O b. 0.2639 O c. 0.2693 d. 0.2369
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.
Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office building has a uniform distribution between 0 and 4 minutes. What is the probability that, the next time you need to take this elevator, you'll have to wait at most 1.6 minutes? (Your answer should be a decimal. Round to 4 decimal places if necessary.)
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