21% of a population are infected with a certain disease. There is a test for the

Question

21% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 95.1% of those who have the disease test tive. However 43% of those who do not have the disease also test positive (false posi positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive? 17) Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. 18) The table below shows the soft drinks preferences of people in three age groups cola root beer lemon-lime 25 under 21 years of age40 between 21 and 40 35 20 over 40 years of age 20 30 35 If one of the 2353 subjets is andormly selectecd,find the probablity that the person drinks root beer given that they are over 40. Find the indicated probability ve. If 3 light bulbs are randomly selected 19) 19) A bin contains 78 light bulbs of which 9 are defecti from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary.

Explanation / Answer

As per the chegg policy, we are advised to do one question at a time. I am attempting the 18th one.

Number of persons in the age bracket of over than 40 = 20 + 30 + 35 = 85

In this, number of persons drink root - beer = 30

Hence,

P(Root beer|Over 40 years of age) = 30/85 = 6/17

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