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2 March, 00:15

Find the following probabilities:

(b) p (1.03 < z < 1.66)

(c) p (-0.87 < z < 1.71)

(d) p (z < - 2.06)

Round your answers to four decimal places.

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Answers (1)
  1. 2 March, 00:40
    0
    (b) 0.103

    (c) 0.7642

    (d) 0.0197

    Step-by-step explanation:

    φ (z) is CDF.

    P (Z < z) = φ (z)

    φ (-z) = 1 - φ (z)

    (b) p (1.03 < z < 1.66)

    = φ (1.66) - φ (1.03)

    = 0.9515 - 0.8485

    = 0.103 0

    (c) p (-0.87 < z < 1.71)

    = φ (1.71) - φ (-0.87)

    = φ (1.71) - 1 + φ (0.87)

    = 0.9564 - 1 +.8078

    =0.7642

    (d) p (z < - 2.06)

    = φ (-2.06)

    = 1 - φ (2.06)

    = 1 - 0.9803

    = 0.1097
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