Question

Using the standard normal distribution tables, the area under the standard Normal curve corresponding to -0.5 < Z < 1.2 is:____________-
A) 0.2815.
B) 0.3085.
C) 0.8849.
D) 0.5764.

Answer 1

Answer:

D) 0.5764.

Step-by-step explanation:

We are asked to find the area under the standard Normal curve corresponding to $-0.5<z<1.2$ using standard normal distribution tables.                  

We know that area between two values under a normal distribution is difference of area of upper value and lower value.

$p(a<z<b)=p(z<b)-p(z<a)$  

Upon substituting our given values, we will get:

$p(-0.5<z<1.2)=p(z<1.2)-p(z<-0.5)$  

Using normal distribution table, we will get:

$p(-0.5<z<1.2)=0.88493-0.30854$  

$p(-0.5<z<1.2)=0.57639$  

$p(-0.5<z<1.2)\approx 0.5764$  

Therefore, the area under the Standard Normal Curve corresponding to $-0.5<z<1.2$ is 0.5764 and option D is the correct choice.