A container contains 50 green​ tokens, 15 blue​ tokens, and 4 red tokens. Two tokens are randomly selected without replacement. Compute​ P(F|E).

A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below.  (enter answer with no commas, i.e. as 1000 not 1,000.)     Infected Not Infected Total Positive Test [a] [b] [c] Negative Test [d] [e] [f] Total 800 99,200 100,000 i) Find the probability that a person has the virus given that they have tested positive. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[g]_______ % ii) Find the probability that a person does not have the virus given that they test negative. (Round your answer to the nearest tenth of a percent and do not include a percent sign.)[h]________ %

Update A certain company offers in-home cral HIV testing. According to their website, out of 4,998 persons who were unaware of their HIV status, 96 persons were HIV positive and 4,902 were HIV negative (as determine by an indeperdent lab test). For 4,901 out of the 4902 persons who were HIV negative, he company's test correctly predicted such a negative result, but incorrectly predicted a positive result for the one remaining person. Of the 96 persons were HIV positive, the company's test correctly predicted a positive result for 90 of them and a negative result for the others. These results can be summarized in the table below Pos Neg Total HIV 90 6 96 No HIV 4,901 4,902 Total 91 4,907 4,998 Find the estimated sensitivity of the company's test for the population that the sample of 4,998 represents. (Round to four decimal places as needed.)

Itranscript One male and one female dam rat pup were randomly selected from 8 litters to perform the swim maze. Each pup was placed in the water at one end of the maze and allowed to swim until it escaped at the opposite end. If the pup failed to escape after a certain period of time, it was placed at the beginning of the maze and given another chance. The experiment was repeated until each pup accomplished three successful escapes. The table to the right reports the number of swims required by each pup. Is there sufficient evidence of a difference between the mean number of swims required by male and female pups? Use a=0.01. Comment on the assumptions required for the test to be valid. B. t> Litter 1 2 3 OC. t 10 12 Female 11 [6526675 10