(b) What is the probability that a randomly vaccinated person does not become ill with thecoronavirus and does not get side effects?(c) What is the probability that a randomly vaccinated person gets side effects? (d) Whatis the probability that a randomly vaccinated person who has not experienced side effectsdoes not become ill with the coronavirus? A new vaccine against the coronavirus has been developed. The vaccine was tested on10,000 volunteers and the study has shown that 65% of those tested do not get sick from thecoronavirus. Unfortunately, the vaccine has side effects and in the study it was shown thatthe probability of getting side effects among those who did not get sick is 0.31, while theprobability of getting side effects among those who got sick from corona despite vaccinationis 0.15.

here define events , person get side effect = S Sick(ill) from corona Virus = C p(C') = 0.65 ,…

Answered: (b) What is the probability that a…

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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A disease afflicts 1 person in 10 in a population. A test for this disease results in 5% false positives. Assume that a random person is tested for the disease (this person is not selected for the test because there are other symptoms indicating the presence of the disease nor are there any special signs of being disease free). Assume that there are no false negatives from this test. A person tests positive. What is the probability that the person truly has the disease? Now assume that false negatives are 15%. What is the probability that the person truly has the disease? The following paragraph is taken from the National Cancer Institute’s web site on the PSA test for prostate cancer. The paragraph is the complete discussion of false positive PSA results offered on the web site.
Apparently, depression significantly increases the risk of developing dementia later in lift (BBC News, July 6, 2010). In a recent study it was reported that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. Suppose 10% of all people suffer from depression. What is the probability of a person developing dementia? If a person has developed dementia, what is the probability that the person suffered from depression earlier in life?
Suppose Nate wins 25% of all thumb wars. (a) What is the probability that Nate wins two thumb wars in a row? (b) What is the probability that Nate wins three thumb wars in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Nate wins three thumb wars in a row, but does not win four in a row. (a) The probability that Nate wins two thumb wars in a row is 0.0625 (Round to four decimal places as needed.) (b) The probability that Nate wins three thumb wars in a row is (Round to four decimal places as needed.) (c) The probability that Nate wins three thumb wars in a row, but does not win four in a row is (Round to four decimal places as needed.)
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Hypertension A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treatment by taking the right number of pills. USE SALT (a) What is the probability that among 10 true hypertensives at least 50% are being treated appropriately and are complying with this treatment? (Round your answer to four decimal places.) (b) What is the probability that at least 8 of the 10 hypertensives know they have high blood pressure? (Round your answer to four decimal places.) (c) If the preceding 50% rates were each reduced to 35% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives;…
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