Mathematics, 21.02.2020 05:25 deanlmartin

. It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. The test for this drug is 90% accurate. What is the probability that an athlete who tests positive is actually a user?

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Answer from: kthe41261

the probability is 0.2177 (21.77%)

Step-by-step explanation:

defining the event T= the test is positive , then the probability of T is

P(T)= probability to choose an user of illegal drug * probability that the test be positive given that a user of illegal dug was selected + probability to not choose an user of illegal drug * probability that the test be positive given that a user of illegal dug was not selected = 0.03* 0.90 + 0.97*0.10 = 0.124

then we can use the theorem of Bayes for conditional probability , defining the event U= choosing an athlete that is a user , then

P(U/T)= P(U∩T)/P(T) = 0.03* 0.90/0.124 = 0.2177 (21.77%)

where

P(U/T)= probability that an athlete that is an user was chosen , given that the test was positive

P(U∩T)= probability of choosing an athlete that is an user and the test results positive

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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know the answer? add it here!

step-by-step explanation:

Answer from: Quest

These are the multiples of 15 but what you are probably asking or what are the factors of 15

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