So close to completing this problem
Kenny, a computer games addiction counsellor for schools,
claimed that his single test for addiction to game is 99% accurate.
From previous data, it is estomated that 2% of the student's
population suffered from computer games addiction.
(i) Show that the probability that a randomly chosen student is
not a computer games addict and is diagnosed wrongly is 0.0098.
No problem with this.
(ii) Calculate the probability that a randomly chosen student
will be diagnosed with addiction to computer games.
Ans: 0.0296
No issue here.
(iii) An external counsellor doubted Kenny's method and
commented that about 33.1% of those diagnosed with game addiction
using Kenny's test actually do not have any addiction. Verify the
validity of this statement.
(i)/(ii)
(iv) To improve his method, Kenny will test those who are
diagnosed as computer games addict a second time with 99% accuracy.
Calculate the new probability that those diagnosed with game
addiction actually do not have any addiction.
Ans: 0.00497
Stuck here argh.