Draw decision tree for Part A. Problem 4: Sophie is studying for a qualifying exam which costs $100 to retake if she fails. Shecan delay the exam for a cost of $70, and will pass if she does so. She thinks the probability ofher passing the exam if she takes it now is 0.4, but she has the option of taking a mock exam for$10. If she were to pass the real exam, her probability of passing the mock exam is 0.9. If shewere to fail the real exam, her probability of passing the mock exam is 0.2.a) Using a decision tree, determine what Sophie should do to minimize her expected totalcost.b) How much should the cost of the mock exam increase or decrease to make Sophieindifferent between taking the mock exam and the next best option?c) What is the EVPI?

a) Using a decision tree, Sophie's options are: take the exam now, delay the exam, or take the mock…

Answered: $10. If she were to pass the real exam,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Please answer all thoroughly and clearly Grade 12 Data Management
Thank you for your feedback on part b. Per your instruction, re-posting question part a. I need help visualizing a tree diagram for this problem. Thank you in advance. Question: A family wants to adopt pets from the local animal rescue. They have prepared a final list of five, all of whom are healthy. Of the five animals, one is a cat and four are dogs. The family decides to select two animals randomly from these five possibilities. a.) Draw a tree diagram to show all possible outcomes of this selection process. Label the probability associated with each stage of the selection on the appropriate branch. Make a table with the outcomes and the probability of each outcome.
12.) A company has developed a drug test to detect steroid use by athletes. The test is accurate 95% of the time when an athlete has taken steroids. It is 97% accurate when an athlete hasn’t taken steroids. Suppose that the drug test will be used in a population of athletes in which 10% have taken steroids. Let’s choose an athlete at random and administer the drug test. a.) Make a tree diagram showing the sample space of this chance process. b.) What’s the probability that the randomly selected athlete tests positive? c.) Suppose that the chosen athlete tests positive. What’s the probability that he or she used steroids?
A psychologist wants to test the influence of color on object recognition in 4-year olds. She recruits 25 children and shows them two sets of pictures of everyday objects (variable = picture type), has the children name them, and measures the time it takes (variable = reaction time). She shows the children a color set of pictures first and then shows them a black and white set of pictures. a) What is the independent variable? b) What is the dependent variable? c) What is the second independent variable? d) What is the second dependent variable? e) Is "picture type" a within-subjects or between-subjects variable? f) What scale of measurement is reaction time? g) What scale of measurement is picture type? h) The order of presentation of the picture sets is what kind of variable?
6. To promote domestic consumption, Country A's government wants to determine the impact on household annual expenditures on consumption items if small stimulus checks were sent monthly over a one year period. To determine if these small stimulus checks would increase household expenditures on consumption items, it chose five households at random, determined their annual expenditure on consumption items for the year before and sent the stimulus checks for a year. The table below shows total amount of annual expenditure on consumption items by the households before and after receipt of the checks. Based on these observations, determine whether there would be a statistically significant difference in the mean annual expenditure on consumption items for the entire population of the Country A if this policy were adopted for the entire country. Use a level of significant of a = .01. Recipient 1 2 3 4 5 Before Receipt ($, in thousands) 63 38 70 65 62 After Receipt ($, in thousands) 65 42 68…
2) You want to find out if there is a food preference in between two species of bats. You collect the following data. You suspect species B prefers Beetles: Bat species A Bat species B Moths 23 9 Beetles 21 33 Do both species of bat have the same food preferences? Make sure you clearly state Ho, H₁, etc. Use a = 0.05. Also clearly write out your decision and what it means.
Sommelier4U is a company that ships its customers bottles of different types of wine and then has them rate the wines as “Like” or “Dislike.” For each customer, Sommelier4U trains a classification tree based on the characteristics and customer ratings of wines that the customer has tasted. Then, Sommelier4U uses the classification tree to identify new wines that the customer may Like. Sommelier4U recommends the wines that have a greater than 50% probability of being liked. Neal Jones, a loyal customer, has provided feedback on hundreds of different wines that he has tasted. Based on this feedback, Sommelier4U trained and validated the following classification tree: For these 178 wines, the tree only misclassifies two wines. These wines have the following characteristics: Wine 1: Proline = 735, Ash = 2.88, Flavanoids = 2.69, Magnesium = 118 Wine 2: Proline = 680, Ash = 2.29, Flavanoids = 2.63, Magnesium = 103 Based on this information, construct the confusion matrix based on the 178…
A decision problem is described by the following decision tree (which has already been solved). Х, 0.2 50 D1 18 Х2 0.8 10 Х1 0.2 100 18 D2 Х2 0.8 -10 12 Determine the value of EMV(perfect) for this decision problem.
Just need an answer to these 2 short questions, please.
Where is the decision tree and how do I fold it back?
The following graph is an interaction plot between factors A and B in a 2* factorial experiment. B+ 60 50 B- 40 B+ 30 20 10 B- Factor A There is a weak interaction between factors A and B Select one: O True O False Response
Q9) I need your help with the question attached. Please show the work done because I need to understand them. Thank you!

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