A diagnostic test for disease X correctly identifies the disease 91% of the time. False positives occur 9%. It is estimated that 3.98% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. 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 91% of the time. False positives occur 9%. It is estimated that 3.98% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. 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

Suppose a lung cancer test is 85% sensitive and 93% specific. That is, the test will produce 85% true positive results for those with lung cancer and 93% true negative results for those without lung cancer. Suppose that 3.2% of people actually have lung cancer. If a randomly selected individual tests positive, what is the probability he or she does not have cancer? YOUR ANSWER SHOULD BE BETWEEN O AND 100 AND ROUNDED To 4 DECIMAL PLACES. (e.g. 59.5321 would be 59.5321%)
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was u = 9.3 mg/L with 95% of the data ranging from 6.7 mg/L to 11.9 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. In USE SALT (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below mg/L? (Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed…
A survey showed that 83% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 18 adults are randomly selected, find the probability that at least 17 of them need correction for their eyesight. Is 17 a significantly high number of adults requiring eyesight correction? ... The probability that at least 17 of the 18 adults require eyesight correction is (Round to three decimal places as needed.)
A diagnostic test for disease X correctly identifies the disease 88% of the time. False positives occur 11%. It is estimated that 2.78% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. The percentage chance that, given a negative result, the person does not have disease X= The percentage chance that, the person will be misclassified =
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.2 mg/L with 95% of the data ranging from 5.4 mg/L to 13.0 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume xhas a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L?(Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12…
A factory uses a specific machine to produce pieces. From previous data, we know that 97% of the time the machine is set up correctly. If this is the case, it produces 95% acceptable (non-defective) pieces. However, if it is not set up correctly, it produces only 40% of acceptable pieces. Q22 A piece produced by the machine is selected. What is the probability that the selected piece is non-defective? Your answer should be in % and have two digits after the period. So, if your answer is 50.002%, enter 50.00. Your Answer:
A factory uses a specific machine to produce pieces. From previous data, we know that 97% of the time the machine is set up correctly. If this is the case, it produces 95% acceptable (non-defective) pieces. However, if it is not set up correctly, it produces only 40% of acceptable pieces Q23 Given that the selected piece is non-defective, what is the probability that the machine is set up correctly? Your answer should be in % and have two digits after the period. So, if your answer is 50.023%, enter 50.02. Your Answer:
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.8 mg/L with 95% of the data ranging from 6.6 mg/L to 13.0 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? (Round your answer to four decimal places.) 0.7734 (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12…
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.9 mg/L with 95% of the data ranging from 6.3 mg/L to 13.5 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? (Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12…