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? .3611 .2771 .2177 .2893

probability that an athlete who tests positive is actually a user

= 0.2177

Step-by-step explanation:

To solve this problem, we create a table that relates the test results and the status of the athletes.

We arbitrarily take a sample of 10000 atheletes to work with whole numbers.

Out of that, 300 are users (3% on the average), and 9700 are non users.

Of the users, 270 users will test positive (90% accuracy) and 30 will test negative.

Similarly, of the non-users, 970 will test positive, and 8730 will test negative.

This gives 1240 positive tests, and 8760 negative tests.

Of the 1240 who test positive, 270 are actually users.

Therefore the probability of the positive test results are actually users

= 270/1240 = 0.2177

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i