Question

. Initial diagnosis of a patient’s illness was potentially flu (F), cold (C), or hay fever...

. Initial diagnosis of a patient’s illness was potentially flu (F), cold (C), or hay fever (H), with probabilities 0.1, 0.2, and 0.7 respectively. A lab test was then taken from the patient. Past tests on similar patients show the following conditional probabilities on the test result being positive (+), neutral (0), or negative (-): P(+|F) = 0.7 P(0|F) = 0.2 P(-|F) = 0.1 P(+|C) = 0.1 P(0|C) = 0.8 P(-|C) = 0.1 P(+|H) = 0.1 P(0|H) = 0.2 P(-|H) = 0.7 Use the Bayes Theorem to estimate the respective probabilities of F, C, and H given that a +, 0, or – test result has been observed.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution:-

a)

b)

c)

Add a comment
Know the answer?
Add Answer to:
. Initial diagnosis of a patient’s illness was potentially flu (F), cold (C), or hay fever...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Please explain part 3 well. what was done to get probability of male ? explain clearly and fully please Test...

    Please explain part 3 well. what was done to get probability of male ? explain clearly and fully please Test - Summer 2015 - Question 1 C UTSC) the Search Caps (UTS The sho w Se for the follow PUTSCM) t he PUT P UTS PUTSCH PCUMAF) = f(b) f(F )-3306)- 0.18 AVTSGAM) = ) ) - (0.5 ) - 0225 PLUSCAM) RUSCO PUMILSO) -(0.2)60.3-0.06 PLUSCAF) - (Usc) A Flu )-(02)(0%) 0.14 2. Solve for the following condition probabilities: PUTM...

  • Hi, my answers seemed strange after using Bayes theorem, so I am unsure if I made the right calcu...

    hi, my answers seemed strange after using Bayes theorem, so I am unsure if I made the right calculations. Please show your work so I can catch my error :) Extra Credit: ELISA tests are used to screen donated blood for the presence of the AIDS virus. The test actually detects antibodies, substances that the body produces when the virus is present. When antibodies are present, ELISA is positive with probability about 0.997 and negative with probability about 0.003. When...

  • To save on expenses, Rona and Jerry agreed to form a carpool for traveling to and...

    To save on expenses, Rona and Jerry agreed to form a carpool for traveling to and from work. Rona prefers to use the somewhat longer but more consistent Queen City Avenue. Although Jerry prefers the quicker expressway, he agreed with Rona that they should take Queen City Avenue if the expressway has a traffic jam. The following payoff table provides the one-way time estimate in minutes for traveling to or from work: State of Nature Expressway Open Expressway Jammed Decision...

  • 8. Read problem 3.15 (pages 67-68) and then answer the questions below. a. What proportion in...

    8. Read problem 3.15 (pages 67-68) and then answer the questions below. a. What proportion in the sample had a culture test? What proportion had the Strep A OIA test? What are the probabilities of outcomes in the sample for those with the Culture test? What are the probabilities of outcomes in the sample for those with the Strep A OIA test? Make a tree to illustrate the probabilities in a-b-c. b. c. d. Use numbers in the tree to...

  • Questions 1. Given the H NMR spectrum and molec- ular formula for each of the following compounds, deduce the...

    Questions 1. Given the H NMR spectrum and molec- ular formula for each of the following compounds, deduce the structure of the compound, estimate the chemical shifts of all its protons using the parameters in Tables 22.3–22.5, and assign the NMR sig- nals to their respective protons. (a) C.H,,Cl; 1H NMR (CDC12): 8 3.33 (2H, s); 1.10 (9H, s) (b) C-H,,0,; 1H NMR (CDC12): 8 3.88 (1H, s); 2.25 (3H, s); 1.40 (6H, s) (C) CH,,0,; 1H NMR (CDC1,): 8...

  • To save on expenses, Rona and Jerry agreed to form a carpool for traveling to and...

    To save on expenses, Rona and Jerry agreed to form a carpool for traveling to and from work, Rona prefers to use the somewhat longer but more consistent Queen City Avenue. Although Jerry prefers the quicker expressway, he agreed with Rona that they should take Queen City Avenue if the expressway has a traffic jam. The following payoff table provides the one-way time estimate in minutes for traveling to or from work: State of Nature Expressway Open Expressway Jammed Decision...

  • To save on expenses, Rona and Jerry agreed to form a carpool for traveling to and...

    To save on expenses, Rona and Jerry agreed to form a carpool for traveling to and from work. Rona prefers to use the somewhat longer but more consistent Queen City Avenue. Although Jerry prefers the quicker expressway, he agreed with Rona that they should take Queen City Avenue if the expressway has a traffic jam. The following payoff table provides the one-way time estimate in minutes for traveling to or from work: State of Nature Expressway Open Expressway Jammed Decision...

  • 1. Oral acetaminophen has been ordered for a young child who has a fever. A liquid...

    1. Oral acetaminophen has been ordered for a young child who has a fever. A liquid form has been obtained by the nurse to increase the chance of problem free administration. Prior to administration, the nurse is going through the rights of medication administration. When confirming the right dose, what term is the most appropriate? a. "160 mg" b. "one teaspoon" c. "one third of a tablespoon d. "SmL 2. A pregnant woman asks why she needs to take a...

  • Name: Week 7 HSCI 390L: Hypothesis Testing Worksheet 1. It has been reported that the average...

    Name: Week 7 HSCI 390L: Hypothesis Testing Worksheet 1. It has been reported that the average credit card debt for college seniors is $3262. The student senate at a large university feels that their seniors have a debt much less than this. so they conduct a study of 50 randomly selected seniors and finds that the average debt is $2995, and the population standard deviation is $1100. Let's conduct the test based on an alpha level of 0.05. Complete the...

  • Question No: 3 (a) A factory produces 2.5% of defective items.If a sample of 200 items...

    Question No: 3 (a) A factory produces 2.5% of defective items.If a sample of 200 items is taken at random from the production. What is the probability that there will be at least four collision in a week? (2 Marks) 50,where t (b) The failure distribution function F(t) of a building system is given F(t) = 1-e is in years. Determine the following: (i) The system will last more than 6 years (ii) hazard function h(t) (3 Marks) (C) A...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT