Question

Suppose that you are invited for an interview that you applied. The probability that you get nervous during the interview is .7. The probability that the interview is successful when you are nervous is .2 and the probability that the interview is successful when you are not nervous is .9. Define N = You are nervous, S = The interview is successful. Find each of the following probabilities, and explain what each of them means. Show or explain how you obtained your answers. Note that it may not be easiest to find them in the order they are listed! 1. P(N) 2. P(S) 3. P(Se 4. P(SIN) 5. P(Ne 6. P(S IN) 8. P(SNe) 9. P(NIS) 10. P(N Is) 11. P(Ne ) 12. P(NIS)

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N Nervous N Not Neryou s S1 S: Intkrvic is not Interrieu is successhl nfrviis not successful Given thal rous) Tnkrvieissssul un nero P(S IN) 02 P(Interine is sucenful swhun not nrrou 1. P(N) 07 :07x02 03x 0.9 : 4 s P(S) 1-Ps) 1-0-95top (s) p(s) 01x02 .91 ·YI 41 o P(NIS) 91 4) P (SC) A 0.12 0.03 59 5g ろ .59 5g

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