The number of earthquakes that occur per week 1.5. follows a Poisson distribution with a mean of (a) What is the probability that no earthquakes occur during a randomly selected week? Show by hand and provide the appropriate R code. (b) What is the probability that more than 1 earthquake occurs? Show by hand and provide the appropriate R code.

The number of earthquakes that occur per week 1.5. follows a Poisson distribution with a mean of (a) What is the probability that no earthquakes occur during a randomly selected week? Show by hand and provide the appropriate R code. (b) What is the probability that more than 1 earthquake occurs? Show by hand and provide the appropriate R code.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

For the case of the thin copper wire, suppose that the number of flaws follows a Poisson distribution of 23 flaws per cm. Let X denote the number of flaws in 1 mm of wire. Approximate the probability of less than 2 flaws in 1 mm of wire. You can use excel to calculate the answer.
Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 22 minutes. A researcher observed 6 students who entered the library to study. Round all answers to 4 decimal places where possible. Find the probability that the randomly selected 6 students will have a total study time more than 300 minutes. __________ The top 15% of the total study time for groups of 6 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? ____________ minutes Answer is not - 2. 0.3236 or 0.42786 3. 332.0443 or 412.809
Use excel sheet to find The number of gamma rays emitted per second by a certain radioactive substance is a random variable having the Poisson distribution with (λ)= 5/8. If a recording instrument becomes inoperative when there are more than 12 rays per second, what is the probability that this instrument becomes inoperative during any given second?
Assume that adults have IQ scores that are normally distributed with a mean of m = 105 and a standard deviation s =15. Find the probability that a randomly selected adult has an IQ between 91 and 119. The probability that a randomly selected adult has an IQ between 91 and 119 is ____.
Data documented for weather events in the state of Montana is obtained over a period of years and includes hail storms causing property damage. The data is analyzed and appears to fit a poison distribution with an average of 3.3 damaging hail storms per year. What is the likelihood that between 2 and 4 damaging hail storms are seen in a randomly selected year? please show using Poisson.dist function What is the probability that at least one significant hail storm causing damage is experienced in the coming year? What is the likelihood that Montana would experience between 5 and 7 damaging hailstorms over a two year period? What is the likelihood that Montana would experience more than 7 damaging hail storms over a two-year period? please show all steps using excel formulas
The number of x people entering the intensive care unit (ICU) at a particular hospital on any givenday has a Poisson probability distribution with mean equal to five persons per day. What is the probabilitythat the number of people entering the ICU on particular fay is less than equal to two?
The number of earthquakes per day in the world has a Poisson distribution with parameter ?= 55. Suppose that the random variable X is the number of earthquakes occurring in one day in the world. Let the random variable Y be the total number earthquakes occurring in the world in 3 days. The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time.a. For our model, what is expected value of X? b. What is the probability that X = 55? c. What is the probability that X > 55? d. What is the probability that X >60? e. What is the smallest value C so that there is at least a 0.9 probability of no more than C earthquakes in a day? f. Y also has a Poisson distribution. What is the parameter ?y for Y? g. What is the standard deviation of X? h. What is the probability Y =164? i. What is the probability that Y < 164? j. What is the probability that X>60 given that X>55?
Q1. Please answer the question with details.
Let's assume data collected at the Diamond Head State Monument sug- gests that an exponential distribution with mean value 2 hours is a good model for rainfall duration. What is the probability that the duration of a particular rainfall event at this location is at least 2 hours? At most 3 hours? Between 2 and 3 hours?
E The number of accidents occurring in a plant in a month follows Poisson distribution with mean as 5.2. The probability of occurrence of less than 2 accidents in the plant during a randomly selected month is
If the random variable x has a Poisson Distribution with mean μ = 3.95, find the probability that x = 16.
The time required to roast a duck may be taken to have a normal distribution with a mean of 45 minutes and standard deviation 12 minutes. The time required to roast a chicken may be taken to have an independent normal distribution with mean 30 minutes and standard deviation 8 minutes. Assume that the oven can only roast one poultry at one time. 0.338 One duck is chosen at random. Find the probability that at least 50 minutes will be required to roast it. (ii) Three randomly chosen ducks are roasted successively in random order. Find the probability that each of them requires more than 45 minutes to roast. 0.15