A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 12%. It is estimated that 0.18% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.) The percentage chance that the test will be positive = % The probability that, given a positive result, the person has disease X = %

A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 12%. It is estimated that 0.18% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.) The percentage chance that the test will be positive = % The probability that, given a positive result, the person has disease X = %

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...

See similar textbooks

Similar questions

Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non- fatal anemia called sickle cell trait. Using S to represent a healthy gene, and s the sickle cell gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who is healthy. That is, the child does not have the disease or trait. Second Parent First SS Ss Parent sS SS P(child is healthy)=D\ | (Simplify your answer.) Enter your answer in the answer box. 5:16 PM 9 Type here to search 99 81 F A G 7/18/2021 20 DELL Esc F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 PrtScr Insert Delete PgUp PgDn Home End 2$ & Num Lock 1 3 4 7 Backspace Tab E T Y ock A S D K Enter N 2 Shift P * 00 Σ
Q. No. 3. A famous football team plays 60% of games at night and 40% during the day. The team wins 50% of the night games and 70% of the day games. According to print media reports, the team won yesterday. i. What is the probability the game was played during the day? ii. What is the probability the game was played at night?
An important component of a desktop or laptop personal computer (PC) is a microchip. The proportion of purchases a certain PC manufacturer makes is shown in the table below. The past experience showing that the likelihood of receiving a defective microchip produced by each supplier is also given in the table. Find the probability that the PC manufacturer receives a defective microchip from supplier 5. Supplier S2 S3 S4 S5 S6 S7 Purchases 0.17 0.03 0.09 0.22 0.11 0.16 0.22 Defective 0.0008 0.0026 0.0015 0.0034 0.0046 0.0058 0.0014 The probability of receiving a defective microchip from supplier 5 is (Simplify your answer. Round to three decimal places as needed.)
The probability that a random American has type o or ab
hm8 5 A manufacturing machine has a 3% defect rate.If 10 items are chosen at random, what is the probability that at least one will have a defect?
Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non-fatal anemia called sickle cell trait. Using S to represent the sickle cell gene, and s a healthy gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who has sickle cell anemia. Second Parent First Parent Ss sS P(child has sickle cell anemia) =| (Type an integer or a simplified fraction.)
When sent a questionnaire, 50% of the recipients respond immediately. Of those who do not respond immediately, 60% respond when sent a follow-up letter. If the questionnaire is sent to 4 persons and a follow-up letter is sent to any of the 4 who do not respond immediately, what is the probability that at least 3 never respond? A D E (0.2) 4 + 4.(0.2) ³. (0.8) (0.2)4 + 4.(0.2).(0.8)³ (0.4) 4 + 4C (0.4) ³. (0.6) (0.9)4 + 4.(0.9) ³. (0.1) 4.(0.2) ³ (0.8)
Example 2.1 260 bolts are examined as they are produced. Five of them are found to be defective. On the basis of this information, estimate the probability that a bolt will be defective.