Statistical Techniques in Business and Economics
16th Edition
ISBN: 9780077639723
Author: Lind
Publisher: Mcgraw-Hill Course Content Delivery
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Chapter 5, Problem 87CE
a.
To determine
Find the overall percent defective.
b.
To determine
Find the probability that defective picture tube discovered in the latest shipment came from that Supplier T.
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A friend who lives in Los Angeles makes frequent consultingtrips to Washington, D.C.; 50% of the time shetravels on airline #1, 30% of the time on airline #2, and the remaining 20% of the time on airline #3. For airline#1, flights are late into D.C. 30% of the time and late intoL.A. 10% of the time. For airline #2, these percentagesare 25% and 20%, whereas for airline #3 the percentagesare 40% and 25%. If we learn that on a particular trip shearrived late at exactly one of the two destinations, whatare the posterior probabilities of having flown on airlines#1, #2, and #3? Assume that the chance of a late arrival inL.A. is unaffected by what happens on the flight to D.C.[Hint: From the tip of each first-generation branch on atree diagram, draw three second-generation brancheslabeled, respectively, 0 late, 1 late, and 2 late.]
Kentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6
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A friend who lives in Los Angeles makes frequent consulting trips to Washington, D.C.;50% of the time she travels on airline #1, 30% of the time on airline #2, and the remaining 20% of the time on airline #3. For airline #1, flights are late into D.C.30% of the time and late into L.A.10% of the time. For airline #2,these percentages are 25% and 20%,whereas for airline #3 the percentages are 40% and 25%.If we learn that on a particular trip she arrived late at exactly one of the two destinations, what are the posterior probabilities of having flown on airlines #1,#2, and #3? Assume that the chance of a late arrival in L.A.is unaffected by what happens on the flight to D.C. [ Hint: From the tip of each first generation branch on a tree diagram, draw three second-generation branches labeled, respectively, 0 late,1late, and 2 late.]
Chapter 5 Solutions
Statistical Techniques in Business and Economics
Ch. 5 - Prob. 1SRCh. 5 - One card will be randomly selected from a standard...Ch. 5 - Prob. 2.2SRCh. 5 - Prob. 2.3SRCh. 5 - Some people are in favor of reducing federal taxes...Ch. 5 - Prob. 2ECh. 5 - Prob. 3ECh. 5 - Prob. 4ECh. 5 - In each of the following cases, indicate whether...Ch. 5 - Prob. 6E
Ch. 5 - Prob. 7ECh. 5 - A sample of 2,000 licensed drivers revealed the...Ch. 5 - Bank of America customers select their own...Ch. 5 - Prob. 3SRCh. 5 - Prob. 4SRCh. 5 - Prob. 11ECh. 5 - Prob. 12ECh. 5 - Prob. 13ECh. 5 - The chair of the board of directors says, There is...Ch. 5 - Suppose the probability you will get an A in this...Ch. 5 - Two coins are tossed. If A is the event two heads...Ch. 5 - Prob. 17ECh. 5 - Prob. 18ECh. 5 - Prob. 19ECh. 5 - Prob. 20ECh. 5 - The aquarium at Sea Critters Depot contains 140...Ch. 5 - A National Park Service survey of visitors to the...Ch. 5 - From experience, Teton Tire knows the probability...Ch. 5 - The board of directors of Tarbell Industries...Ch. 5 - Refer to Table 51 on page 151 to find the...Ch. 5 - Consumers were surveyed on the relative number of...Ch. 5 - Prob. 23ECh. 5 - Prob. 24ECh. 5 - Prob. 25ECh. 5 - Prob. 26ECh. 5 - Prob. 27ECh. 5 - Prob. 28ECh. 5 - Prob. 29ECh. 5 - Prob. 30ECh. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 9SRCh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - Prob. 36ECh. 5 - The credit department of Lions Department Store in...Ch. 5 - Prob. 38ECh. 5 - Prob. 10.1SRCh. 5 - Prob. 10.2SRCh. 5 - Prob. 11.1SRCh. 5 - Prob. 11.2SRCh. 5 - Prob. 11.3SRCh. 5 - In a lottery game, three numbers are randomly...Ch. 5 - Prob. 39ECh. 5 - Prob. 40ECh. 5 - Prob. 41ECh. 5 - A telephone number consists of seven digits, the...Ch. 5 - An overnight express company must include five...Ch. 5 - A representative of the Environmental Protection...Ch. 5 - Sam Sneads restaurant in Conway, South Carolina,...Ch. 5 - A company is creating three new divisions and...Ch. 5 - The marketing research department at Pepsico plans...Ch. 5 - The number of times a particular event occurred in...Ch. 5 - The probability that the cause and the cure for...Ch. 5 - Berdines Chicken Factory has several stores in the...Ch. 5 - Prob. 51CECh. 5 - The first card selected from a standard 52-card...Ch. 5 - Prob. 53CECh. 5 - Refer to the following picture. a. What is the...Ch. 5 - Prob. 55CECh. 5 - Assume the likelihood that any flight on Delta...Ch. 5 - Prob. 57CECh. 5 - Prob. 58CECh. 5 - Prob. 59CECh. 5 - Prob. 60CECh. 5 - Prob. 61CECh. 5 - Forty percent of the homes constructed in the...Ch. 5 - Prob. 63CECh. 5 - Prob. 64CECh. 5 - Prob. 65CECh. 5 - Prob. 66CECh. 5 - Prob. 67CECh. 5 - Prob. 68CECh. 5 - Prob. 69CECh. 5 - An investor purchased 100 shares of Fifth Third...Ch. 5 - Flashner Marketing Research Inc. specializes in...Ch. 5 - Prob. 72CECh. 5 - Prob. 73CECh. 5 - Prob. 74CECh. 5 - Prob. 75CECh. 5 - Prob. 76CECh. 5 - Prob. 77CECh. 5 - Prob. 78CECh. 5 - Prob. 79CECh. 5 - Prob. 80CECh. 5 - Prob. 81CECh. 5 - Prob. 82CECh. 5 - Prob. 83CECh. 5 - Prob. 84CECh. 5 - Prob. 85CECh. 5 - Prob. 86CECh. 5 - Prob. 87CECh. 5 - ABC Auto Insurance classifies drivers as good,...Ch. 5 - Prob. 89CECh. 5 - The probability a D-Link network server is down is...Ch. 5 - Prob. 91CECh. 5 - Prob. 92DECh. 5 - Refer to the Baseball 2012 data, which reports...Ch. 5 - Refer to the data on the school buses in the Buena...
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- An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. The Altigauge Manufacturing Company makes 80% of the ELTS, the Bryant Company makes 15% of them, and the Chartair Company makes the other 5%. The ELTS made by Altigauge have a 4% rate of defects, the Bryant ELTS have a 6% rate of defects, and the Chartair ELTS have a 9% rate of defects (which helps to explain why Chartair has the lowest market share). i) If an ELT is randomly selected from the general population of all ELTS, find the probability that it was made by the Altigauge Manufacturing Company. If a randomly selected ELT is then tested and is found to be ii) defective, find the probability that it was made by the Altigauge Manufacturing Company.arrow_forwardAn aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. The Altigauge Manufacturing Company makes 80% of the ELTS, the Bryant Company makes 15% of them, and the Chartair Company makes the other 5%. The ELTS made by Altigauge have a 4% rate of defects, the Bryant ELTS have a 6% rate of defects, and the Chartair ELTS have a 9% rate of defects (which helps to explain why Chartair has the lowest market share). a. If an ELT is randomly selected from the general population of all ELTS, find the probability that it was made by the Altigauge Manufacturing Company. b. If a randomly selected ELT is then tested and is found to be defective, find the probability that it was made by the Altigauge Manufacturing Company. c. What is the probablity that a randomly selected ELT is defective?arrow_forwardA large industrial firm uses three local motels to provide overnight accommodations for its clients. From past experience it is known that 20% of the clients are assigned rooms at the Ramada Inn, 50% at the Sheraton, and 30% at the Lakeview Motor Lodge. If the plumbing is faulty in 5% of the rooms at the Ramada Inn, in 4% of the rooms at the Sheraton, and in 8% of the rooms at the Lakeview Motor Lodge, what is the probability that a person with a room having faulty plumbing was assigned accommodations at the Lakeview Motor Lodge? Select one: O a. 0.666 O b. 0.219 O c. 0.444 O d. 0.719arrow_forward
- A large industrial firm uses three local motels to provide overnight accommodations for its clients. From past experience it is known that 20% of the clients are assigned rooms at the Ramada Inn, 50% at the Sheraton, and 30% at the Lakeview Motor Lodge. If the plumbing is faulty in 5% of the rooms at the Ramada Inn, in 4% of the rooms at the Sheraton, and in 8% of the rooms at the Lakeview Motor Lodge, what is the probability that a person with a room having faulty plumbing was assigned accommodations at the Lakeview Motor Lodge? Select one: O a.0.719 О.0.219 O c.0.666 O d. 0.444arrow_forwardThe question is in the imagearrow_forwardA friend who lives in Los Angeles makes frequent consulting trips to Washington, D.C.; 60% of the time she travels on airline # 1, 20% of the time on airline on airline # 3. For airline #1, flights are late into D.C. 40% of the time and late into L.A. 15% of the time. For airline #2, these percentages are 35% and 10%. If we learn that on a particular trip she arrived late at exactly one of the two destinations, and # 3? Assume that the chance of a late arrival in L.A. is unaffected by what happens on the flight to D.C. [Hint: second-generation branches labeled, respectively, 0 late, 1 late, and 2 late.] (Round your answers to four decimal airline #1 airline #2 airline #3 20% of the time whereas #2, and the remaining percentages for airline #3 the what are flown on airlines From the tip of each first-generation branch on a tree diagram, draw three places.) the posterior of having #1, #2, and 15%, probabilities are 35%arrow_forward
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