Mathematics, 30.10.2019 04:31 noahmartinez3636

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

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Answer from: aaron0828

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

Answer from: Quest

24 students walk to school
Agroup of 80 students was asked to share how they get to school most of the time. the following circ

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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