Using the standard Normal distribution tables, the area under the standard Normal curve corresponding to - 0.5 < Z < 1.2 is 0.3085. 0.8849. 0.5764. 0.2815.

Answer: 0.5764

Step-by-step explanation:

By using the standard Normal distribution tables,

The value correspond to z = 1.2 is P (Z<1.2) = 0.8849 (1)

The value correspond to z = 0.5 is P (Z<0.5) = 0.6915 (2)

The area under the standard Normal curve corresponding to - 0.5 < Z < 1.2

= P (z<1.2) - P (z<-0.5)

= P (z<1.2) - (1-P (z<0.5)) [∵ P (Z<-z) = 1-P (Z
= P (z<1.2) - 1 + P (z<0.5)

= 0.8849 - 1 + 0.6915 [From (1) and (2) ]

= 0.5764

Therefore, the area under the standard Normal curve corresponding to - 0.5 < Z < 1.2 is 0.5764.

Hence, the correct answer is 0.5764.