Use the tree diagram technique that can be found in Lecture 12 to solve this problem....

Use the tree diagram technique that can be found in Lecture 12 to solve this problem. Suppose that 50% of all people who take a pregnancy test are, in fact, pregnant. A certain pregnancy test is known to identify 95% of pregnancies with a positive test result. However, 2% of people who are not pregnant will have a positive test result.

Find the following probabilities:

a. What is the probability that someone is pregnant and tests positive?

b. What is the overall probability of a positive test result?

c. If a woman has a positive test result, what is the probability that she is actually pregnant?

Expert Solution

a) P(pregnant and test positive) = P(test positive | pregnant) * P(pregnant)

= 0.95 * 0.50 = 0.475

b) P(Positive test) = P(positive | pregnant) * P(pregnant) + P(positive | not pregnant) * P(not pregnant)

= 0.95 * 0.50 + 0.02 * (1 - 0.50)

= 0.485

c) P(pregnant | positive) = P(positive | pregnant) * P(pregnant)/P(positive)

= (0.95 * 0.50)/0.485

= 0.9794

orchestra answered 1 year ago

Use the technique developed in this section to solve the minimization problem. Minimize C = −3x...

Use the technique developed in this section to solve the minimization problem. Minimize C = −3x − 2y − z subject to −x + 2y − z ≤ 12 x − 2y + 2z ≤ 15 2x + 4y − 3z ≤ 18 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C = at (x, y, z) = .

Can you please solve this problem. The correct answer that should be found is below. Thank...

Can you please solve this problem. The correct answer that should be found is below. Thank You Early in 2015, Logan Corporation engaged Reese, Inc. to design and construct a complete modernization of Logan's manufacturing facility. Construction was begun on January 1, 2015 and was completed on December 31, 2015. Logan made the following payments to Reese, Inc. during 2015: Date Payment June 1, 2015 $2,400,000 August 31, 2015 3,600,000 December 31, 2015 3,000,000 In order to help finance the...

(Use the string class to solve the problem) Write a program (in c++) that can be...

(Use the string class to solve the problem) Write a program (in c++) that can be used to train the user to use less sexist language by suggesting alternative versions of sentences given by the user. The program will ask for a sentence, read the sentence into a string variable, and replace all occurrences of masculine pronouns with gender-neutral pronouns. For example, it will replace “he” with “she or he”, and “him” with “her or him”. Be sure to preserve...

Solve the following using tree diagrams. Please draw the diagram! A six person committee composed of...

Solve the following using tree diagrams. Please draw the diagram! A six person committee composed of Abba, Bull, Char,Dave, Eric and Ford is to select officer positions of chairman, secretary and treasurer. How many selections are there in which either Ford is an officer and Char is a secretary, or Abba is not chairman and Char is not an officer?

In Lecture 5, we discussed how to solve the Tower of Hanoi problem (Exercise 5.36 in...

In Lecture 5, we discussed how to solve the Tower of Hanoi problem (Exercise 5.36 in the textbook). Consider the following problem variant in which one extra constraint has been added: There are three pegs and n disks of different sizes. Initially, all disks are on the leftmost peg and arranged in order of decreasing size, with the smallest disk on top. The task is to move all the disks to the rightmost peg, under the constraints that: • Only...

Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all...

Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. HINT [See Example 3.] Your auto rental company rents out 30 small cars, 22 luxury sedans, and 48 slightly damaged "budget" vehicles. The small cars break down 12% of the time, the luxury sedans break down 8% of the time, and the "budget" cars break down 40% of the time. P(Small and breaks down) = P(Small and does not break down) =...

Determine, diagram, and discuss the cost and feasibility of the strategic plan to solve the problem?...

Determine, diagram, and discuss the cost and feasibility of the strategic plan to solve the problem? of HIV/AIDS

Write a case you can use PCR to solve the problem and also write a case...

Write a case you can use PCR to solve the problem and also write a case you cannot use PCR to solve to problem

Can anyone use python to solve this problem: Part B: List of lists The aim of...

Can anyone use python to solve this problem: Part B: List of lists The aim of Part B is to learn to work with list of lists. You may want to open the file lab05b_prelim.py in the editor so that you can follow the task description. The first part of the file lab05b_prelim.py defines a variable called datasets. The variable datasets is a list of 4 lists. This part consists of 2 tasks. Task 1: We ask you to type...

Which technique would you use to determine the following? You can only use each technique once....

Which technique would you use to determine the following? You can only use each technique once. Not all techniques will be used. Explain your answer. techniques available: - SDS-PAGE and Western blot - TLC - freeze-fracture - lactoperoxidase labeling - FRAP/photobleaching - photoactivation - hydropathy plot 1. You want to determine if a membrane has proteins in it or not. 2. You want to determine if a cell membrane has the Na+/K+ transporter. 3. You want to determine the types...

Question