EnteredAnswer PreviewResult0.0250.025incorrect0.91730.9173incorrect0.0650.065incorrectAt least one of the answers above is NOT correct.It is estimated that approximately 8.27% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for diabetes will correctly diagnose 93.5% of all adults over 40 with diabetes ashaving the disease and incorrectly diagnoses 2.5% of all adults over 40 without diabetes as having the disease.a) Find the probability that a randomly selected adult over 40 does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives").0.025b) Find the probability that a randomly selected adult of 40 is diagnosed as not having diabetes.0.9173c) Find the probabilitya randomly selecadult over 40 actuallydiabetes, given that he/she is diagnosed as not having diabetes (such diagnoses are called "false negatives").0.065(Note: it will be helpful to first draw an appropriate tree diagram modeling the situation)

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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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In recent years research suggests that cell phone usage during social interactions leads to distractions, which undermines the benefits of social interaction. A recent report by greater good magazine reports that a survey shows that 82% of people report that the use of cell phones during a conversation decreases the quality and what they talk about. Assuming the greater good magazine report is accurate, and then a random sample of cell phone users during A recent conversation were sampled. You are interested in the probability that a specific number of the cell phones users would report that the use of cell phones during a conversation decreases the quality of what they talk about.
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%)
The drop out rate of female students from computer science programs in their first year is much higher compared to males. There are many initiatives that aim to help lower the rate of drop out for females which is currently 0.30. If 310 female students enrolled in the computer science program this year, what is the probability that less than 80 will actually drop out? O A. 0.579 O B. 0.054 O C. 0.421 O D. 0.946 Reset Selection
American Cancer Society estimates that about 1.7% of women have breast cancer. A study for the Cure Foundation states that mammography correctly identifies about 78% of the women who truly have breast cancer. An article published in 2021 suggests that around 10% of all mammograms are false positive. Answer the following clearly stating your assumptions, if any, with appropriate justification. a. A woman has tested positive in a mammography. What is the probability that she has breast cancer?b. In order to double check the same woman undergoes a second test by the same mammography kit. This test too results in a positive. Does the probability of her having breast cancer change now or remain the same as earlier. Please justify your responses accordingly.
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.)
In a 2018 study, it was determined that 14% of Americans smoke. In a separate study, it was determined 9% of smokers die of lung cancer, and 1% of non-smokers die of lung cancer. Assuming these values hold true today, find the following: a. What is the probability that a randomly selected person is a smoker and died of lung cancer? b. What is the probability that a randomly selected person dies of lung cancer? c. What is the probability that a randomly selected person is a smoker or died of lung cancer?
14 percent of the school age population attends private schools and 1% of those get executive-level positions later in their careers. This compares with0.1%of people who attend state schools achieving executive-level positions. What is the probability that a randomly selected person in an executive-level position had attended a private school?
A survey showed that 80% of adults need correction (eyeglasses, contacts, surgery, etc) for their eyesight. If 19 adults are randomly selected find the probability that no more than 1 of them need correction for their eyesight. Is 1 significantly low number of adults requiring eyesight correction. a. The probability that no more than 1 of the 19 adults require eyesight correction is b. Is 1 significantly low number of adults requiring eyesight correction: Note that a small probability is one that is less than 0.05.
16% of all Americans live in poverty. If 31 Americans are randomly selected, find the following probabilities. Round answers to 4 decimal places. a. Probability that exactly 4 of them live in poverty. b. Probability that at most 7 of them live in poverty. c. Probability that at least 5 of them live in poverty. d. Probability that between 1 and 6 (including 1 and 6) of them
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
This problem involves empirical probability. The table shows the breakdown of 85 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is a woman in the Air Force. Marine Air Corps Force 5 13 1 5 6 18 Male Female Total Army 23 9 32 Navy 22 7 29 Total 63 22 85 The probability that a randomly selected single parent in the U.S. military is a woman in the Air Force is (Type an integer or decimal rounded to the nearest hundredth as needed.)
A study published in 2012 concluded that 33 percent of the patients on Prednisone, a medication used for the treatment of various allergic disorders, suffered adverse effects. If 90 patients with allergic disorders are selected randomly and administered Prednisone, what is the approximate probability that at most 20 of them will suffer adverse effects? 0.022 0.330 0.670 0.015 0.042

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