Q4. Hamish is about to meet Emma for the second time. Last time he met Emma,...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Q4. Hamish is about to meet Emma for the second time. Last time he met Emma, he forgot to ask her where she's from, and now he's too embarrassed to ask. He knows, though, that she is either from the USA or Canada, and he can correctly distinguish these accents 60% of the time. Based purely on the sound of her accent, Hamish would have guessed that Emma is American. Hamish seems to remember that America has a population of about 333 million while Canada only has about 37 million (these numbers aren't exactly right, but we'll use them here because they're round). He met Emma in Jamaica, and he guesses that within Jamaica, the relative amounts of Americans and Canadians are proportional to the ratio of their home country populations. (a) Assuming that Hamish only has his ability to distinguish accents, his geographic knowledge, and his reasoning skills to go on, what probability should he assign to Emma being American? [5 marks] (b) What probability would he have assigned to her being American if he'd thought her accent sounded Canadian instead? [5 marks] (c) How would the probabilities in parts (a) and (b) be different if Hamish made only half as many mistakes when attempting to distinguish Canadian vs. American accents? [5 marks] (d) Describe in words how the calculations above were influenced by the base rate (i.e. of Americans vs. Canadians in Jamaica), and give an example of circumstances which might have changed the base rate so as to meaningfully influence the results. [Emorral Q4. Hamish is about to meet Emma for the second time. Last time he met Emma, he forgot to ask her where she's from, and now he's too embarrassed to ask. He knows, though, that she is either from the USA or Canada, and he can correctly distinguish these accents 60% of the time. Based purely on the sound of her accent, Hamish would have guessed that Emma is American. Hamish seems to remember that America has a population of about 333 million while Canada only has about 37 million (these numbers aren't exactly right, but we'll use them here because they're round). He met Emma in Jamaica, and he guesses that within Jamaica, the relative amounts of Americans and Canadians are proportional to the ratio of their home country populations. (a) Assuming that Hamish only has his ability to distinguish accents, his geographic knowledge, and his reasoning skills to go on, what probability should he assign to Emma being American? [5 marks] (b) What probability would he have assigned to her being American if he'd thought her accent sounded Canadian instead? [5 marks] (c) How would the probabilities in parts (a) and (b) be different if Hamish made only half as many mistakes when attempting to distinguish Canadian vs. American accents? [5 marks] (d) Describe in words how the calculations above were influenced by the base rate (i.e. of Americans vs. Canadians in Jamaica), and give an example of circumstances which might have changed the base rate so as to meaningfully influence the results. [Emorral
Expert Answer:
Related Book For
Fundamentals of Thermal-Fluid Sciences
ISBN: 978-0078027680
5th edition
Authors: Yunus A. Cengel, Robert H. Turner, John M. Cimbala
Posted Date:
Students also viewed these economics questions
-
The drinking water needs of an office are met by large water bottles. One end of a 0.25-in-diameter plastic hose is inserted into the bottle placed on a high stand, while the other end with an on/off...
-
The drinking water needs of an office are met by cooling tab water in a refrigerated water fountain from 23 to 6C at an average rate of 10 kg/h. If the COP of this refrigerator is 3.1, the required...
-
The drinking water needs of an office are met by cooling tab water in a refrigerated water fountain from 23 to 6C at an average rate of 10 kg/h. If the COP of this refrigerator is 3.1, the required...
-
Find the deflection y(x) of a cantilever beam embedded at its left end and free at its right end when the load is as given in Example 10.
-
a. For each situation, find Z(critical). b. For each situation, find the critical t score. c. Compute the appropriate test statistic (Z or t) for each situation: 1. = 2.40 = 2.20 = 0.75 N = 200 2. ...
-
Debate: As more women move into management positions in organizations, the gender differences in communication between men and women will eventually disappear and so will communication problems.
-
On October 1, 2017, Gordon borrows \($150\),000 cash from a bank by signing a three-year installment note bearing 10% interest. The note requires equal payments of \($60\),316 each year on September...
-
Henderson Photographys checkbook lists the following: Henderson Novembers bank statement shows the following: Requirements 1. Prepare Henderson Photographys bank reconciliation at November 30, 2016....
-
1. What is the selection bias in the regressions? When will the bias occur? 2. Please explain why the random assignment could be used to address. the selection bias problem.
-
Carrington Oil produces gas 1 and gas 2 from two types of crude oil: crude 1 and crude 2. Gas 1 is allowed to contain up to 4% impurities, and gas 2 is allowed to contain up to 3% impurities. Gas 1...
-
A thermal wheel is used to recover energy from the extract air leaving a building at 5 kg/s mass flow rate and 23 C dry bulb temperature. The heat is used to preheat the fresh air supply coming in at...
-
What is the difference between a shareholder direct suit and a shareholder derivative suit?
-
a. What actions taken by the Fed in 2020 would you expect to have influenced real GDP growth in 2021? Explain how those policy actions would transmit to real GDP. b. Draw a graph of aggregate demand...
-
Market research is being trivialized by the number of surveys that are being reported in the media. Discuss.
-
What are the five theories of corporate governance?
-
Compare and contrast the information processing approach and the consumer culture approach to our understanding of how consumers behave in the ways that they do.
-
Identify bugs and inadequacies in the following code which purports to implement a clock custom HTML element. class ClockElement extends HTMLElement { constructor() { this.time = Date.now(); }...
-
Burberrys competitive advantage is through its differentiation strategy. What risk should Burberry remain aware of?
-
Your neighbor lives in a 2500-square-foot (about 250 m 2 ) older house heated by natural gas. The current gas heater was installed in the early 1980s and has an efficiency (called the Annual Fuel...
-
Reconsider Prob. 1772E. Using an appropriate software, investigate the effects of the thermal conductivity of the pipe material and the outer diameter of the pipe on the length of the tube required....
-
Two pin fins are identical, except that the diameter of one of them is twice the diameter of the other. For which fin is the (a) fin effectiveness (b) fin efficiency higher? Explain.
-
Identify and explain the meaning of the term "strategy."
-
Describe and explain each of the major stages of the Strategic Management Planning process.
-
Identify and describe the major features of the Strategic Management model.
Study smarter with the SolutionInn App