Statistics for Business and Economics
8th Edition
ISBN: 9780132745659
Author: Paul Newbold, William Carlson, Betty Thorne
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 3.3, Problem 50E
To determine
The probability of A given B.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The probability that it will rain on any given day is 0.20, and the probability is independent from day to day. You are trying
to decide whether or not to make a tee time tomorrow to play golf. This requires a commitment on your part of turning
down, say, movie tickets in favor of playing golf. If you accept the tickets, you also make the commitment not to go golfing.
There is a weather forecast that signals whether it will rain tomorrow or not. There is a 0.80 probability that it rains when
there is a "rainy" forecast and a 0.125 probability of rain when there is a "sunny" forecast. The overall probability of getting
a "rainy" forecast is 0.111.
Assume you are risk neutral. You place the following monetary values on the potential outcomes:
a sunny day at
the golf course
a rainy day at
the movies
a rainy day at
home
$95
$20
-$18
a sunny day at $1
the movies
a. If you have no weather forecast, evaluate the expected value of planning to golf and planning to go to the movies.
What is the…
The probability that it will rain on any given day is 0.20, and the probability is independent from day to day. You
are trying to decide whether or not to make a tee time tomorrow to play golf. This requires a commitment on your
part of turning down, say, movie tickets in favor of playing golf. If you accept the tickets, you also make the
commitment not to go golfing. There is a weather forecast that signals whether it will rain tomorrow or not. There
is a 0.80 probability that it rains when there is a "rainy" forecast and a 0.125 probability of rain when there is a
"sunny" forecast. The overall probability of getting a "rainy" forecast is 0.111.
Assume you are risk neutral. You place the following monetary values on the potential outcomes:
a sunny day at $95
the golf course
a rainy day at
the movies
a rainy day at
home
a sunny day at
the movies
$20
-$18
$1
Brain tumors in children are rare: the base rate is only about 1/10,000. A child with
a tumor is very likely to have occasional headaches: 99 out of 100 do. But there are
many other reasons a child can have a headache: of those who do not have a
tumor, 1 in 10 have occasional headaches.
1. Given that a child has occasional headaches (H), what it the probability that he or
she has a brain tumor (T)? Show your work.
2. Name a behavioral bias that may occur when estimating the probability that your
child has a brain tumor. Would this bias lead to under-or-overestimate that
probability? Explain.
3. Among children with headaches (H), 999/1000 will ultimately be fine (F). Suppose
that a physician using a simple test can correctly determine whether the child is fine
or not in 95/100 of children with headaches. Given that the doctor after performing
the test gives the patient a green light (G), what is the probability that the
child really will be fine? Show your work..
Page 1 of 1
175 words…
Chapter 3 Solutions
Statistics for Business and Economics
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10E
Ch. 3.2 - Prob. 11ECh. 3.2 - In a city of 180,000 people there are 20,000 legal...Ch. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - Prob. 53ECh. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.4 - Prob. 57ECh. 3.4 - Prob. 58ECh. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.4 - Prob. 61ECh. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - Prob. 65ECh. 3.4 - Prob. 66ECh. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.4 - Prob. 69ECh. 3.4 - Prob. 70ECh. 3.4 - Prob. 71ECh. 3.4 - Prob. 72ECh. 3.4 - Prob. 73ECh. 3.4 - Prob. 74ECh. 3.4 - Prob. 75ECh. 3.4 - Prob. 76ECh. 3.4 - Prob. 77ECh. 3.5 - Prob. 78ECh. 3.5 - Prob. 79ECh. 3.5 - Prob. 80ECh. 3.5 - Prob. 81ECh. 3.5 - Prob. 82ECh. 3.5 - Prob. 83ECh. 3.5 - Prob. 84ECh. 3.5 - Prob. 85ECh. 3.5 - Prob. 86ECh. 3.5 - Prob. 87ECh. 3 - Prob. 88ECh. 3 - Prob. 89ECh. 3 - Prob. 90ECh. 3 - Prob. 91ECh. 3 - Prob. 92ECh. 3 - Prob. 93ECh. 3 - Prob. 94ECh. 3 - Prob. 95ECh. 3 - Prob. 96ECh. 3 - Prob. 97ECh. 3 - Prob. 98ECh. 3 - Prob. 99ECh. 3 - Prob. 100ECh. 3 - Prob. 101ECh. 3 - Prob. 102ECh. 3 - Prob. 103ECh. 3 - Prob. 104ECh. 3 - Prob. 105ECh. 3 - Prob. 106ECh. 3 - Prob. 107ECh. 3 - Prob. 108ECh. 3 - Prob. 109ECh. 3 - Prob. 110ECh. 3 - Prob. 111ECh. 3 - Prob. 112ECh. 3 - Prob. 113ECh. 3 - Prob. 114ECh. 3 - Prob. 115ECh. 3 - Prob. 116ECh. 3 - Prob. 117ECh. 3 - Prob. 118ECh. 3 - Prob. 119ECh. 3 - Prob. 120ECh. 3 - Prob. 121ECh. 3 - Prob. 122E
Knowledge Booster
Similar questions
- Erik entered his sister into their town's Smelly Shoe Competition. Erik observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes. Under age 12|13 to 30 years old Tennis shoes High heels 9. 8 What is the probability that a randomly selected contestant is not wearing high heels and is not 13 to 30 years old? Simplify any fractions.arrow_forwardAn electronics company gives a warrantee on a $150 eReader that covers accidentaldamage (AD) and theft (T). Due to the costs associated with fixing an eReader, it ischeaper for the company to credit the buyer the full price of the product to purchaseanother one. In any given year, there is a 5.1% chance that an AD claim is filed. Assumeonly one claim can be filed (not one of each type).If a customer reports an eReader as stolen, the company will credit the customer 80% ofthe product's full price. In a given year, there is a 3.5% chance that a T claim is filed.If the warrantee costs $15.95 for one year, what is the company's expected financialgain/loss on each contract?(NOTE: Remember that a customer will pay for the warrantee up-front, whether or not aclaim is filed.)arrow_forwardA class consists of 17 women and 65 men. If a student is randomly selected, what is the probability that the student is a woman?arrow_forward
- This problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the Army. Male Female Total Army 24 10 34 Navy 27 8 35 Marine Corps 5 1 6 Air Force 146 20 Total 70 25 95 The probability that a randomly selected single parent in the U.S. military is in the Army is (Type an integer or decimal rounded to the nearest hundredth as needed.)arrow_forwardSixty percent (60%) of Students of the Reginal College were took French. Fifteen (15) were randomly and independently sampled. a) Calculate the probability that at most 2 out of the 15 randomly selected students took French. b) Of the 15 students, how many do you expect to take French.arrow_forwardIn an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below. Students Given Four Quarters Students Given a $1 Bill Purchased Gum 30 Kept the Money 19 13 26 a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. The probability is (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. The probability is (Round to three decimal places as needed.) c. What do the preceding results suggest? OA. A student given four quarters is more likely to have kept the money. OB. A student given four quarters is more likely to have spent the money than a student given a $1 bill. OC. A student given four quarters is more likely to have kept the money than a student given a…arrow_forward
- Refer to Table 3.10.What is the joint probability of “middle income” and “never”?arrow_forwardApplied Machines produces large test equipment for integrated circuits. The machines are made to order, so the production rate varies from month to month. Before shipping, each machine is subject to extensive testing. Based on the tests the machine is either passed or sent back for rework. During the past 20 months the firm has had to rework the following numbers of machines: (given) Consider the example of Applied Machines presented above. Based on the estimate of the probability that a machine is sent back for rework computed from the 20 months of data, determine the following:a. If the company produces 35 machines in one particular month, how many, on average, require rework?b. Out of 100 machines produced, what is the probability that more than 20 percent of them require rework? (Use the normal approximation to the binomial for your calculations).arrow_forwardRefer to Table 3.10.What is the joint probability of “low income” and “regular”?arrow_forward
- Among 7610 cases of heart pacemaker malfunctions, 405 were found to be caused by firmware, which is software programmed into the device. If the firmware is tested in 3 different pacemakers randomly selected from this batch of 7610 and the entire batch is accepted if there are no failures, what is the probability that the firmware in the entire batch will be accepted? Is this procedure likely to result in the entire batch being accepted? The probability is. This procedure is (Round to three decimal places as needed.) to result in the entire batch being accepted. Carrow_forwardInsurance: An insurance company sells a 1-year term life insurance policy to an 84-year-old man. The man pays a premium of $1600. If he dies within 1 year, the company will pay $33,000 to his beneficiary. According to the U.S. Centers for Disease Control and Prevention, the probability that an 84-year-old man will be alive 1 year later is 0.9537, Let X be the profit made by the insurance company. do Part: 0/2 Part 1 of 2 (a) Find the probability distribution. The probability distribution is 1600 P (x)arrow_forwardIn the game of blackjack as played in casinos in Las Vegas, Atlantic City, and Niagara Falls, as well as in many other cities, the dealer has the advantage. Most players do not play very well. As a result, the probability that the average player wins a hand is about 45%. Find the probability that an average player wins. a.Twice in 5 hands. b. Ten or more times in 25 hands. Arrivals 0 1 2 3 4 5 6 7 8 Frequency 14 31 47 41 29 21 10 5 2arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Economics (12th Edition)EconomicsISBN:9780134078779Author:Karl E. Case, Ray C. Fair, Sharon E. OsterPublisher:PEARSON
Engineering Economy (17th Edition)EconomicsISBN:9780134870069Author:William G. Sullivan, Elin M. Wicks, C. Patrick KoellingPublisher:PEARSON
Principles of Economics (MindTap Course List)EconomicsISBN:9781305585126Author:N. Gregory MankiwPublisher:Cengage Learning
Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-...EconomicsISBN:9781259290619Author:Michael Baye, Jeff PrincePublisher:McGraw-Hill Education
Principles of Economics (12th Edition)
Economics
ISBN:9780134078779
Author:Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:9780134870069
Author:William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:PEARSON
Principles of Economics (MindTap Course List)
Economics
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-...
Economics
ISBN:9781259290619
Author:Michael Baye, Jeff Prince
Publisher:McGraw-Hill Education