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Ch33 22

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Ch33 22

  1. 1. Exercice 22 X (350, 30) X − 350 Z= 30 (a) 410 − 350 P(X > 410) = P Z > 30 = P(Z > 2) = 1 − P(Z < 2) = 1 − Φ(2) = 1 − 0, 9772 0, 0228
  2. 2. Exercice 22 (suite..) (b) 300 − 350 P(X < 300) = P Z < 30 = P(Z < −1, 6666) = Φ(−1, 6666) = 1 − Φ(1, 6666) = 1 − 0, 9515 0, 0485
  3. 3. Exercice 22 (suite..) (c) 320 − 350 380 − 350 P(320 < X < 380) = P <Z< 30 30 = P(−1 < Z < 1) = Φ(1) − Φ(−1) = Φ(1) − [1 − Φ(1)] = 2Φ(1) − 1 = 2 × 0, 8413 − 1 0, 6826

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