LRA #3B Instructions: Answer all questions displayed below. Please show your work by displaying formula (if any) and tables/diagrams whenever appropriate. Create one file of your answers. Upload the answer file. Please type or write clearly so that grader can grade it quickly. Please look carefully at my examples posted in various sections of pdf files and see how I show work. In all LRA, you are expected to show your work similar to those shown in my worked examples. No credit for showing only answers even if the answers are correct. (Grader understands that few questions may not need formula and explanation, thus writing answer may be sufficient in some situations). 1. A manufacturer claims that its drug test will detect steroid use (that is, show positive for an athlete who uses steroids) 98% of the time. What the company does not tell you is that 8% of all steroid-free individuals also test positive (the false positive rate). It is know that 15% of the athletes use steroids. Define two events as follows: E : the event that an athlete tests positive F : the event that an athlete uses steroids