Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 2.4, Problem 64E
The Reviews editor for a certain scientific journal decides whether the review for any particular book should be short (1–2 pages), medium (3–4 pages), or long (5–6 pages). Data on recent reviews indicates that 60% of them are short, 30% are medium, and the other 10% are long. Reviews are submitted in either Word or LaTeX. For short reviews, 80% are in Word, whereas 50% of medium reviews are in Word and 30% of long reviews are in Word. Suppose a recent review is randomly selected.
- a. What is the
probability that the selected review was submitted in Word format? - b. If the selected review was submitted in Word format, what are the posterior probabilities of it being short, medium, or long?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A study is planned to compare the proportion of teenagers (ages 13–19) who dislike anchovies with the proportion of young adults (ages 20–30) who dislike anchovies. A random sample of 41 teenagers was taken, and 78% of them disliked anchovies. A random sample of 56 young adults was also taken, and 71% of them disliked anchovies.
Difference = Teenagers - Young Adults
The picture below is the question. Use the information above to help.
A certain virus affects 0.5% of the population. A test used to detect the virus in a person is positive 90% of the time if the person has the virus (true positive) and 15% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people.
Virus
No Virus
Total
Positive Test
Negative Test
Total
100,000
a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %
b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
A September, 2014, survey indicated that 53% of U.S. adults aged 18–29 used the social media platform Instagram. If this was 21 percentage points lessthan twice the percent that used Twitter, what percent of U.S. adults aged 18–29 used Twitter?
Chapter 2 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 2.1 - Four universities1, 2, 3, and 4are participating...Ch. 2.1 - Suppose that vehicles taking a particular freeway...Ch. 2.1 - Three components are connected to form a system as...Ch. 2.1 - Each of a sample of four home mortgages is...Ch. 2.1 - A family consisting of three personsA, B, and...Ch. 2.1 - A college library has five copies of a certain...Ch. 2.1 - An academic department has just completed voting...Ch. 2.1 - An engineering construction firm is currently...Ch. 2.1 - Use Venn diagrams to verify the following two...Ch. 2.1 - a. In Example 2.10, identify three events that are...
Ch. 2.2 - A mutual fund company offers its customers a...Ch. 2.2 - Consider randomly selecting a student at a large...Ch. 2.2 - A computer consulting firm presently has bids out...Ch. 2.2 - Suppose that 55% of all adults regularly consume...Ch. 2.2 - Consider the type of clothes dryer (gas or...Ch. 2.2 - An individual is presented with three different...Ch. 2.2 - Let A denote the event that the next request for...Ch. 2.2 - A wallet contains five 10 bills, four 5 bills, and...Ch. 2.2 - Human visual inspection of solder joints on...Ch. 2.2 - A certain factory operates three different shifts....Ch. 2.2 - An insurance company offers four different...Ch. 2.2 - The route used by a certain motorist in commuting...Ch. 2.2 - The computers of six faculty members in a certain...Ch. 2.2 - Show that if one event A is contained in another...Ch. 2.2 - The three most popular options on a certain type...Ch. 2.2 - A certain system can experience three different...Ch. 2.2 - An academic department with five faculty members...Ch. 2.2 - In Exercise 5, suppose that any incoming...Ch. 2.3 - As of April 2006, roughly 50 million .com web...Ch. 2.3 - A friend of mine is giving a dinner party. His...Ch. 2.3 - The composer Beethoven wrote 9 symphonies, 5 piano...Ch. 2.3 - An electronics store is offering a special price...Ch. 2.3 - Again consider a Little League team that has 15...Ch. 2.3 - Computer keyboard failures can be attributed to...Ch. 2.3 - A production facility employs 10 workers on the...Ch. 2.3 - An academic department with five faculty members...Ch. 2.3 - An experimenter is studying the effects of...Ch. 2.3 - A sonnet is a 14-line poem in which certain...Ch. 2.3 - A box in a supply room contains 15 compact...Ch. 2.3 - Three molecules of type A, three of type B, three...Ch. 2.3 - An ATM personal identification number (PIN)...Ch. 2.3 - A starting lineup in basketball consists of two...Ch. 2.3 - In five-card poker, a straight consists of five...Ch. 2.3 - Show that (nk)=(nnk). Give an interpretation...Ch. 2.4 - The population of a particular country consists of...Ch. 2.4 - Suppose an individual is randomly selected from...Ch. 2.4 - Return to the credit card scenario of Exercise 12...Ch. 2.4 - Reconsider the system defect situation described...Ch. 2.4 - The accompanying table gives information on the...Ch. 2.4 - A department store sells sport shirts in three...Ch. 2.4 - According to a July 31, 2013, posting on cnn.com...Ch. 2.4 - A system consists of two identical pumps, #1 and...Ch. 2.4 - A certain shop repairs both audio and video...Ch. 2.4 - In Exercise 13, Ai = {awarded project i}, for i =...Ch. 2.4 - Deer ticks can be carriers of either Lyme disease...Ch. 2.4 - For any events A and B with P(B) 0, show that...Ch. 2.4 - If P(B|A) P(B), show that P(B|A) P(B). [Hint:...Ch. 2.4 - Show that for any three events A, B, and C with...Ch. 2.4 - At a certain gas station, 40% of the customers use...Ch. 2.4 - Seventy percent of the light aircraft that...Ch. 2.4 - Components of a certain type are shipped to a...Ch. 2.4 - Blue Cab operates 15% of the taxis in a certain...Ch. 2.4 - For customers purchasing a refrigerator at a...Ch. 2.4 - The Reviews editor for a certain scientific...Ch. 2.4 - A large operator of timeshare complexes requires...Ch. 2.4 - Consider the following information about travelers...Ch. 2.4 - There has been a great deal of controversy over...Ch. 2.4 - A friend who lives in Los Angeles makes frequent...Ch. 2.4 - In Exercise 59, consider the following additional...Ch. 2.5 - Reconsider the credit card scenario of Exercise 47...Ch. 2.5 - An oil exploration company currently has two...Ch. 2.5 - In Exercise 13, is any Ai independent of any other...Ch. 2.5 - If A and B are independent events, show that A and...Ch. 2.5 - The proportions of blood phenotypes in the U.S....Ch. 2.5 - One of the assumptions underlying the theory of...Ch. 2.5 - In October, 1994, a flaw in a certain Pentium chip...Ch. 2.5 - An aircraft seam requires 25 rivets. The seam will...Ch. 2.5 - A boiler has five identical relief valves. The...Ch. 2.5 - Two pumps connected in parallel fail independently...Ch. 2.5 - Consider the system of components connected as in...Ch. 2.5 - Refer back to the series-parallel system...Ch. 2.5 - Consider independently rolling two fair dice, one...Ch. 2.5 - Components arriving at a distributor are checked...Ch. 2.5 - Prob. 84ECh. 2.5 - A quality control inspector is examining newly...Ch. 2.5 - a. A lumber company has just taken delivery on a...Ch. 2.5 - Consider randomly selecting a single individual...Ch. 2.5 - The probability that an individual randomly...Ch. 2.5 - Suppose identical tags are placed on both the left...Ch. 2 - A certain legislative committee consists of 10...Ch. 2 - A factory uses three production lines to...Ch. 2 - An employee of the records office at a certain...Ch. 2 - One satellite is scheduled to be launched from...Ch. 2 - A transmitter is sending a message by using a...Ch. 2 - Individual A has a circle of five close friends...Ch. 2 - According to the article Optimization of...Ch. 2 - A chemical engineer is interested in determining...Ch. 2 - Prob. 98SECh. 2 - Fasteners used in aircraft manufacturing are...Ch. 2 - Jay and Maurice are playing a tennis match. In one...Ch. 2 - A system consists of two components. The...Ch. 2 - The accompanying table categorizing each student...Ch. 2 - a. A certain company sends 40% of its overnight...Ch. 2 - A company uses three different assembly linesA1,...Ch. 2 - Disregarding the possibility of a February 29...Ch. 2 - One method used to distinguish between granitic...Ch. 2 - A subject is allowed a sequence of glimpses to...Ch. 2 - In a Little League baseball game, team As pitcher...Ch. 2 - Four engineers, A, B, C, and D, have been...Ch. 2 - A particular airline has 10 a.m. flights from...Ch. 2 - Consider four independent events A1, A2, A3, and...Ch. 2 - A box contains the following four slips of paper,...Ch. 2 - Show that if A1, A2, and A3 are independent...
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
- Check whether the representation of pets in the population is different from: dog 41%, cat 33%, fish 10%, other 16%. α = 0.05. I am sending a screenshot with only one PART of the data in the attachmentarrow_forwardPlease with 3.1 and 3.2 and 3.3arrow_forwardin the previous example, the adult weighing 285 pounds decides to not paricipate in the study. what is the median weight of the remaning adults 223 235 235 268 274 290arrow_forward
- Two psychologists surveyed 562 children in grades 4, 5 and 6 in elementary schools in Michigan. They stratified their sample drawing roughly 1/3 from rural, 1/3 from suburban and 1/3 from urban schools. Among other questions they asked students whether their primary goal was to get good grades, to be popular, or to be good at sports. One question of interest was whether boys and girls at this age had similar goals. Grades Popular Sports TotalBoy 120 67 87 274Girl 151 121 33 305Total 271 188 120 579 Round answers to two places after the decimal: Of the boys in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have as primary goal to be good at sports? Of the girls in grades 4, 5 and 6 in elementary schools in Michigan, what proportion have as primary goal to be good at sports? Among the students in grades 4, 5 and 6 in elementary schools in Michigan who have as primary goal to be good at sports, what is the proportion are girls?arrow_forwardCholesterol levels (in mg/dL) were collected from a random sample of 24 patients two days after they had a heart attack. Cholesterol Levels (in mg/dL) 236 226 For the data shown above, find the following. Do not round any of your answers. a) Find the 5-number summary: 160 220 236 310 244 210 288 294 276 234 288 360 272 278 280 270 266 142 242 206 186 318arrow_forwardA sample of 425 voters aged 18 – 25 were asked whether they thought Social Security benefits should be increased for people over the age of 65. A total of 181 of them answered yes. A sample of 500 voters aged 60 and older were asked the same question and 234 of them answered yes. Can you support the claim that the proportion of voters who support an increase in Social Security benefits is less among younger votes? Use ? = 0.05.arrow_forward
- Corvette, Ferrari, and Jaguar produced a variety of classic cars that continue to increase in value. The data showing the rarity rating (1–20) and the high price ($1000s) for 15 classic cars is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.arrow_forwardTrying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table. R F eTextbook and Media Save for Late O % 5 T O >> G H (9) 2 Number Accepted Number Enrolled Find the correlation between the number of students accepted and enrolled. Use two decimal places in your answer. & 2,440 2,800 2,720 2,360 2,660 2,620 8 6 611 K 708 637 584 614 625 ( 9 L Attempts: 0 of 1 used ) 0 P Submit Answer 56°F Cl Backspaarrow_forwardLarge companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 – 35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Amanda falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 97 people in my market category who had been interviewed, 16 said they would buy the product, and of the 101 people in Amanda's market category, 31 said they would buy it. Assuming that these data came…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics 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:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction 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
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License