A diagnostic test for disease X correctly identifies the disease 89% of the time. False positives occur 8%. It is estimated that 3.04% 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 89% of the time. False positives occur 8%. It is estimated that 3.04% 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...

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Question one There is currently a global pandemic and many researchers and scientists are working towards finding a vaccine that is suitable for children. Assume that Advanced Researcher, a company that is currently testing a few vaccines confirms an 80% chance of effectiveness of one of their vaccines. a. Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to children? b. What are the assumptions of the probability distribution identified in part "a."? c. Assume that the vaccine is given to a group of 50 children from Jamaica, what is the probability that it is effective in exactly 40 children? Interpret your results.
A medical treatment has a success rate of 0.8. Two patients will be treated with this treatment. Assuming the results are independent for the two patients, what is the probability that both of them will be successfully cured? A. 0.20 B. 0.04 C. 0.36 D. 0.64
In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student chosen randomly from the class is a female who has an A? Has an A Does not have an A Female Male 5 2 4 12
Suppose the reliability of a bulb in a projector is 95%. If the bulb fails, the backup bulb can be used. The reliability of this bulb is only 80%. What is the probability that a projector will be useful given the main and the backup bulb? 100% 0.99 O 0.76 O 0.9580
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.)
Question Completion Status: Moving to another question will save this response. Question 32 A barbershop requires appointments for perms and haircuts. Ten percent of those making appointments cancel or simply fail to show up. Next week's appointment calendar has 64 appointments. let x be the number of missed appointments out of the 64. The probability that more than 2 cancellations and/or no-shows will occur during the next week is: 0.9611 0.1063 Ob. 0.7795 C d. 0.8937 0.3784 Moving to another question will save this response. 22 tv A Question 32 of 35 CA Question 32 of 35
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_______________ is the probability of an outcome on one variable (e.g., survival vs. death) given a score for another variable (e.g., whether the person owns a dog or not), whereas, ____________ is the overall probability of some outcome (such as survival vs. death) for the entire sample, ignoring membership on any other categorical variables.
You ask a neighbor to water a sickly plant while you are on vacation. Without water, the plant will die with a probability of 0.9. With water, it will die with a probability of 0.55. You are 86 % certain the neighbor will remember to water the plant.When you are on vacation, find the probability that the plant will die.Answer: You come back from the vacation and the plant is dead. What is the probability the neighbor forgot to water it?Answer: