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.

(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