Ts) a test for steroids has a 2% false positive rate and a 5% false negative rate. this means that 2% of ball players who do not take steroids test positive for them, and 5% of the steroid users test negative. suppose that 1% of players use steroids: (a) what is the probability that someone who tests positive actually uses steroids? (b) what is the probability that someone who tests negative does not use stero

Answer and Step-by-step explanation:

              1% uses steroids 95% tests + (OK!)

                                                          5% tests - (false negative)

Players

            99% do not use steroids 98% tests - (OK!)

                                                                       2% tests + (false positive)

(a) What is the probability that someone who tests positive actually uses steroids?

In other words, whats the probability of a player using steroids given that the test is positive?

P(uses | test +) = P(uses ∩ test +)/P(test +)

P(uses ∩ test +) = 0.01*0.95 = 0.0095

P(test +) = 0.01*0.95 + 0.99*0.02 = 0.0293

P(uses ∩ test +)/P(test +) = 0.0095/0.0293 = 0.3242

(b) What is the probability that someone who tests negative does not use steroids?

In other words, whats the probability of a player not using steroids given that the test is negative?

P(not uses | test -) = P(not uses ∩ test -)/P(test -)

P(not uses ∩ test -) = 0.99*0.98 = 0.9702

P(test -) = 0.01*0.05 + 0.99*0.98 = 0.9707

P(not uses | test -) = P(not uses ∩ test -)/P(test -) = 0.9702/0.9707 = 0.9995

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes