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  1. Exercice 2:
  2.  
  3. Question 1: MTBF = 392 donc lambda = 1 / 392 = 0.00255
  4. Question 2: F(365) = P(T <= 365) = 1 - e(-0.00255*365) = 0.61
  5. Question 3:
  6. 3 années = 3 * 365 = 1095
  7. R(1095) = P(T > 1095) = e(-0.00255*1095) = 0.06
  8. Question 4:
  9. P(T > n) >= 0.95
  10. <=> e(-0.00255*n) >= 0.95
  11. <=> -0.00255*n >= ln(0.95)
  12. <=> n <= ln(0.95)/(-0.00255)
  13. <=> n <= 20.11 soit n <= 20
  14. Question 5:
  15. a) F(365)^6 = (1 - e(-0.00255*365))^6 = 0.05
  16. b) 1 - F(365)^6 = 1 - 0.05 = 0.95
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