Question

The standard normal curve shown here is a probability density curve for a continuous random variable. This means that the area underneath the entire curve is 1. What is the area of the shaded region between the two z-scores indicated in the diagram?

Answer 1

I used one of the statistical functions on my trusty TI-83 Plus calculator:

normcdf(-1.26, 0.88) = 0.707

Note that this is, as expected, between 0 and 1.

Answer 2

Answer with explanation:

The Curve given here is a probability density curve for a continuous random variable.

Area under the entire region of the curve = 1

Using the Standard normal table to obtain area occupied when Z values are given

Area of the normal curve, when ,Z =0.88, is =0.8106

Area occupied by normal curve ,when Z= -1.26, is =0.1038

So, Area of shaded Region

`Z_(0.88)-Z_(-1.26)=0.8106-0.1038\\\\=0.7068`

Option D:→ 0.7068