A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Topic Video
Question
To better understand how husbands and wives feel about their finances, Money Magazine conducted a national poll of 1010 married adults age 25 and older with household incomes of $50,000 or more (Money Magazine website, December 14, 2014). Consider the following example set of responses to the question, “Who is better at getting deals?”
Who Is Better?
Respondent I Am My Spouse We Are Equal
Husband 278 127 102
Wife 290 111 102
- Develop a joint
probability table and use it to answer the following questions. - Construct the marginal probabilities for Who Is Better (I Am, My Spouse, We Are Equal). Comment.
- Given that the respondent is a husband, what is the probability that he feels he is better at getting deals than his wife?
- Given that the respondent is a wife, what is the probability that she feels she is better at getting deals than her husband?
- Given a response “My spouse” is better at getting deals, what is the probability that the response came from a husband?
- Given a response “We are equal,” what is the probability that the response came from a husband? What is the probability that the response came from a wife?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 7 steps with 7 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Similar questions
- We are interested in analyzing data related to college football. Use S to denote the team is in the SEC and use W to denote a team has a winning season. The probability that a team is in the SEC in the data set is 5.5%. The probability that a team has a winning season is 52.5%. The probability that a team is in the SEC and has a winning season is 3.55%. What percentage of teams are in the SEC or had a winning season? b. What percentage of people teams are in the SEC and did NOT have a winning season? Given a team had a winning season, what is the probability that they are in the SEC? а. с.arrow_forwardOrgan Donors USA Today provided information about a survey of 5100 adult Internet users. Of the respondents, 2346 said they are willing to donate organs after death. In this survey conducted for Donate Life America, 100 adults were surveyed in each state and the District of Columbia, and results were weighted to account for the different state population sizes. a. What percentage of respondents said that they are willing to donate organs after death? b. Based on the poll results, what is the probability of randomly selecting an adult who is willing to donate organs after death? c. What term is used to describe the sampling method of randomly selecting 100 adults from each state and the District of Columbia?arrow_forwardThe U.S. Coast Guard maintains a database of the number, source, and location of oil spills in the U.S. navigable and territorial waters. The following is a probability distribution for location of oil spill events. [Source: Statistical Abstract of the United States.] Location Probability Atlantic Ocean 0.008 Pacific Ocean 0.037 Gulf of Mexico 0.233 Great Lakes 0.020 Other Lakes 0.002 Rivers and canals 0.366 Bays and sounds 0.146 Harbors 0.161 Other 0.027 If an oil spill is selected at random from the database, what is the probability: The oil spill occurred in an ocean? The oil spill occurred in a lake or harbor? The oil spill did not occur in a lake, ocean, river, or canal?arrow_forward
- Hi. Please see attached. Thankyou!arrow_forwardA recent survey by a market research company found that 56% of all US households have internet access. Answer the following as decimals rounded to three places. a. If five households are chosen at random, what is the probability that all five have internet access? Preview b. What is the probability that none of the five have internet access? Preview c. If five households are chosen, what is the probability that at least one household has internet access? Previewarrow_forwardplease answer the question down below!arrow_forward
- The 2015 National Vital Statistics Report provides information on how the nearly four million live births that occurred in 2014 broke down by birth order. Choose at random a baby born in the United States in 2014. Baby's birth order Probability mean = 1 2 0.391 0.319 The few babies who were 9th or more in birth order are included in the "8" birth order group. In 2014, 39.1% of the nearly 4 million live births in the United States were to first-time mothers. 3 5 6 7 4 0.168 0.072 0.028 0.012 0.005 standard deviation = What are the properties of the sampling distribution of the proportion of births to first-time mothers in random samples of 500 births from 2014? (Enter your answer for the mean rounded to three decimal place and your answer for the standard deviation rounded to four decimal places.) 8 0.005arrow_forwardName the method of estimating probabilities based on experience or institution.arrow_forwardQuestion: A survey is conducted among 70 people. Details about if theyhave diabetes and their family history of diabetes are collected. 48 people reported that they have a family history of diabetes. 32 of them reported to have diabetes among which 23 of them had a family history of diabetes. Construct a contingency table with this information. What is the probability that an individual has diabetes given that the individual had a family history of diabetes?arrow_forward
- A researcher wanted to study the commuting habits of community college students and faculty. He wanted to compare their mode of transportation to the college. He asked if they walk, bike, or drive to campus. The following table represents the data that was collected. Walks to campus Bikes to campus Drives to campus Total Students 70 22 78 170 Faculty 5 4 23 32 Total 75 26 101 202 A. Find the probability that a randomly selected member of faculty walks to campus. B. If you are randomly selecting a person from those who bike to campus, what is the probability that you will select a student. C. Perform a Test of Independence to determine if commuting habits are dependent on being a student or a faculty.arrow_forwardIt is widely known that wage levels and real estate prices follow, i.e. that in areas where salaries are generally high, so are real estate prices and vice versa. The table below shows the distribution of people according to their salary level and the real estate price where they live. a. According to the table, what percentage of people have a high salary level? b.What is the probability that a person with a low salary lives in an area with high real estate prices? c. What is the probability that a person living in an area with high real estate prices has a low salary?arrow_forwardIn a sample of college students, 100 live on campus, 60 live with family off campus, and 40 live in an apartment off campus. A.What is the probability a randomly selected student lives off campus? B. Explain why this is an example of empirical probability.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON