6, A manufacturer claims that its drug test will detect steroid use (that is, sh

Question

6, A manufacturer claims that its drug test will detect steroid use (that is, show positive for an athlete who uses steroids) 95% of the time. Further, 15% of all steroid-free individuals also test positive, 10% of the rugby team members use steroids. Your friend on the rugby team has just tested positive. What is the probability that he uses steroids? OA. 0.4130 B. 0.8636 O c. 0.0950 O D. 0.230 7. A fast food restaurant just leased a new freezer and food fryer for three years. The service contract for the freezer offers unlimited repairs for a fee of $125 a year plus a $35 service charge for each repair needed. The restaurant's research indicates that during a given year 80% of these freezers need no repairs, 11% needed to be serviced once, 5% twice, 4% three times, and none required more than three repairs. What is the mean restaurant's annual expense with the service contract for this freezer? O $122.45 $25.20 o $136.55 O $89.90

Explanation / Answer

As per the Chegg policy, we are advised to do one question at a time so i am attempting the 6th one.

6. Given,

P(Steroids) = 0.10

So P(NoSteroids) = 1 - 0.10 = 0.90

P(Test positive | Steroids) = 0.95

P(Test positive | No Steroids) = 0.15

Hence by Baye's theorem:

P(Steroids | Tests positive) = (0.10*0.95) / (0.10*0.95 + 0.90*0.15) = 0.4130

Option A is correct.

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