Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
3rd Edition
ISBN: 9781259969454
Author: William Navidi Prof.; Barry Monk Professor
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 6.3, Problem 19E
a)
To determine
To find P(X=4)
(b)
To determine
To find P (X > 1)
(c)
To determine
To find
(d)
To determine
To find mean
(e)
To determine
To find standard deviation
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article "Methodology for Probabilistic Life Prediction of Multiple-Anomaly Materials"† proposes a Poisson distribution for X. Suppose that ? = 4. (Round your answers to three decimal places.)
(a)
Compute both P(X ≤ 4) and P(X < 4).
P(X ≤ 4) =
P(X < 4) =
(b)
Compute P(4 ≤ X ≤ 9).
(c)
Compute P(9 ≤ X).
18. Let X denote the number of bombs hit per minute in an area of 1 square miles on a certain day during a war. Suppose has a Poisson distribution with λ = 5.
a) Find the probability that two bombs hit that area in a minute.
b) Find the probability that at most two bombs hit that area in a minute.
c) Find the expected number of bomb hits per minute in that area.
d) Find the variance of the number of bomb hits per minute in that area.
Q.2. A good approximation of the number of accident compensations the insurance company will have to payin a given year is given by the distribution:(A) Poisson (λ = 12) (B) Binomial (p = 0.4, n = 3 000) (C) Poisson (λ = 48)(D) N (12, σ2 = 12) (E) Binomial (p = 0.5, n = 3 000)
Chapter 6 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - Exercises 9-12, fill in each blank with the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 13-16, determine whether the...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...
Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 17-26, determine whether the random...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - In Exercises 27-32, determine whether the table...Ch. 6.1 - Prob. 32ECh. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - Prob. 36ECh. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - In Exercises 33-38, compute the mean and standard...Ch. 6.1 - Fill in the value so that the following table...Ch. 6.1 - Fill in the missing value so that the following...Ch. 6.1 - Put some air in your tires: Let X represent the...Ch. 6.1 - Fifteen items or less: The number of customers in...Ch. 6.1 - Defective circuits: The following table presents...Ch. 6.1 - Do you carpool? Let X represent the number of...Ch. 6.1 - Dirty air: The federal government has enacted...Ch. 6.1 - Prob. 46ECh. 6.1 - Relax! The General Social Survey asked 1676 people...Ch. 6.1 - Pain: The General Social Survey asked 827 people...Ch. 6.1 - School days: The following table presents the...Ch. 6.1 - World Cup: The World Cup soccer tournament has...Ch. 6.1 - Lottery: In the New York State Numbers Lottery:...Ch. 6.1 - Lottery: In the New York State Numbers Lottery,...Ch. 6.1 - Craps: In the game of craps, two dice are rolled,...Ch. 6.1 - Prob. 54ECh. 6.1 - Multiple choice: A multiple-choice question has...Ch. 6.1 - Prob. 56ECh. 6.1 - Business projection: An investor is considering a...Ch. 6.1 - Insurance: An insurance company sells a one-year...Ch. 6.1 - Boys and girls: A couple plans to have children...Ch. 6.1 - Girls and boys: In Exercise 59, let X be the...Ch. 6.1 - Success and failure: Three components are randomly...Ch. 6.2 - In Exercises 5-7, fill in each blank with the...Ch. 6.2 - In Exercises 5-7, fill in each blank with the...Ch. 6.2 - In Exercises 5-7, fill in each blank with the...Ch. 6.2 - Prob. 8ECh. 6.2 - In Exercises 8-10, determine whether the statement...Ch. 6.2 - In Exercises 8-10, determine whether the statement...Ch. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - Prob. 14ECh. 6.2 - In Exercises 11-16, determine whether the random...Ch. 6.2 - Prob. 16ECh. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - Prob. 18ECh. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - In Exercises 17-26, determine the indicated...Ch. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Match each TI-84 PLUS calculator command the...Ch. 6.2 - Take a guess: A student takes a true-false test...Ch. 6.2 - Take another guess: A student takes a...Ch. 6.2 - Your flight has been delayed: At Denver...Ch. 6.2 - Car inspection: Of all the registered automobiles...Ch. 6.2 - Google it: According to a report of the Nielsen...Ch. 6.2 - What should I buy? A study conducted by the Pew...Ch. 6.2 - Blood types: The blood type O negative is called...Ch. 6.2 - Coronary bypass surgery: The Agency for Healthcare...Ch. 6.2 - College bound: The Statistical Abstract of the...Ch. 6.2 - Big babies: The Centers for Disease Control and...Ch. 6.2 - High blood pressure: The National Health and...Ch. 6.2 - Prob. 40ECh. 6.2 - Testing a shipment: A certain large shipment comes...Ch. 6.2 - Smoke detectors: An company offers a discount to...Ch. 6.2 - Prob. 43ECh. 6.3 - In Exercises 5 and 6, fill in each blank with the...Ch. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Flaws in aluminum foil: The number of flaws in a...Ch. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Computer messages: The number of tweets received...Ch. 6.3 - Prob. 24ECh. 6.3 - Trees in the forest: The number of trees of a...Ch. 6.3 - Prob. 26ECh. 6.3 - Drive safely: In a recent year, there were...Ch. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6 - Explain why the following is not a probability...Ch. 6 - Find die mean of the random variable X with the...Ch. 6 - Refer to Problem 2. the variance of the random...Ch. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - At a cell phone battery plant. 5% of cell phone...Ch. 6 - Refer to Problem 9. Find the mean and standard...Ch. 6 - A meteorologist states that the probability of...Ch. 6 - Prob. 12CQCh. 6 - Prob. 13CQCh. 6 - Prob. 14CQCh. 6 - Prob. 15CQCh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Lottery tickets: Several million lottery tickets...Ch. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Reading tests: According to the National Center...Ch. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 1WAICh. 6 - Prob. 2WAICh. 6 - Prob. 3WAICh. 6 - When a population mean is unknown, people will...Ch. 6 - Provide an example of a random variable and...Ch. 6 - Prob. 6WAICh. 6 - Prob. 7WAICh. 6 - Prob. 1CS
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Auto vehicles arrive at a petrol pump, having one petrol unit, in Poisson fashion with an average of 10 units per hour. The service time is distributed exponentially with a mean of 3 minutes. Find the following: Average number of units in the system Average waiting time Average length of queuearrow_forwardEnvironmental HealthSome previous studies have shown a relationship between emergency-room admissions per day and level of pollution on a given day. A small local hospital finds that the num-ber of admissions to the emergency ward on a single day ordinarily (unless there is unusually high pollution) followsa Poisson distribution with mean = 2.0 admissions per day. Suppose each admitted person to the emergency ward stays there for exactly 1 day and is then discharged. ِa- The hospital is planning a new emergency-room facil-ity. It wants enough beds in the emergency ward so that for at least 95% of normal-pollution days it will not need to turn anyone away. What is the smallest number of beds it should have to satisfy this criterion?arrow_forwardBadly need this answer, will upvote if answer is correct... A restaurant manager is considering to hire waiters. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 12 customers per hour, and the average service time is 15 minutes. The manager hopes that there is on average 1 customer waiting in line, so at least how many waiters does he need to hire?arrow_forward
- 20 - The birth rate in a hospital is given to match the Poisson distribution with an average of 1.2 per hour. What is the probability of less than two births in a given two hours at this hospital?A) 0.6916B) 0.3084C) 0.2613D) 0.2177E) 0.4790arrow_forwardThe number of visits to a website follows a Poisson distribution and occurs at an average of 100 visits per hour. How many visits occur on average between 2:00-3:30 pm? a) 100 b) 50 c) 150 d) 200arrow_forwardEnvironmental HealthSome previous studies have shown a relationship betweenemergency-room admissions per day and level of pollution on a given day. A small local hospital finds that the num-ber of admissions to the emergency ward on a single day ordinarily (unless there is unusually high pollution) followsa Poisson distribution with mean = 2.0 admissions per day.Suppose each admitted person to the emergency wardstays there for exactly 1 day and is then discharged. 4.67 The hospital is planning a new emergency-room facil-ity. It wants enough beds in the emergency ward so that for at least 95% of normal-pollution days it will not need to turnanyone away. What is the smallest number of beds it shouldhave to satisfy this criterion?arrow_forward
- Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article "Methodology for Probabilistic Life Prediction of Multiple-Anomaly Materials"† proposes a Poisson distribution for X. Suppose that ? = 4. (Round your answers to three decimal places.) (a) Compute both P(X ≤ 4) and P(X < 4). (b) Compute P(4 ≤ X ≤ 7). (c) Compute P(7 ≤ X). (d) What is the probability that the number of anomalies does not exceed the mean value by more than one standard deviation?arrow_forwardAges of Homes Whiting, Indiana leads the "Top 100 Cities with the Oldest Houses" list with the average age of houses being 66.4 years. Farther down the list resides Franklin, Pennsylvania, with an average house age of 59.4 years. Researchers selected a random sample of 22 houses from Whiting and 19 houses from Franklin and obtained the following statistics. At α=0.05, can it be concluded that the houses in Whiting are older? Use the P-value method. Assume the variables are normally distributed and the variances are unequal. Whiting Franklin Mean age (in years) 61.6 59.7 Standard deviation (in years) 5.4 3.9 Use μ1 for the average age of houses in Whiting. (a) State the hypotheses and identify the claim. H0: claim/not claim H1: claim/not claim This hypothesis test is a one-tailed/two-tailed test. (b) Compute the test value. Round the answer to at least three decimal places. t= (c) Find the interval for the P-value. The…arrow_forwardWorkers in a factory have to take their work to the quality control department before the product reaches the end of the production process. There are a large number of employees and arrivals are approximately 20 per hour, following a Poisson process. The time to inspect a part follows an exponential distribution of mean 4 minutes. Calculate the average number of workers in quality control if there are: a. 2 inspectors b. 3 inspectorsarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License