Find the area under the standard normal curve that lies outs

Find the area under the standard normal curve that lies outside the interval between the following z-values.

The area outside of the interval between z= -2.17 and z= 0.07 is ___________________.

Find the area under the standard normal curve that lies to the left of z= -0.97.

The area to the left of z= -0.97 is ____________________.

The area to the left of z= -2.05 is ____________________.

The area between z= 1.09 and z= 2.04 is __________________.

Solution

Find the area under the standard normal curve that lies outside the interval between the following z-values.

You can look these up on the standard normal distribution table or a calculator using normalcdf.

The area outside of the interval between z= -2.17 and z= 0.07 is ___________________.

Find the area between -2.17 and .007.

P(-2.17 < z < .007) = P(.007 < z) P(z < -2.17)= .5028 - .0150 = .4878.

Since it is the area outside, it is 1 - .4878 = 0.5122 (answer)

Find the area under the standard normal curve that lies to the left of z= -0.97.

The area to the left of z= -0.97 is ____________________. 0.1660 (answer)

The area to the left of z= -2.05 is ____________________. 0.0202 (answer)

The area between z= 1.09 and z= 2.04 is __________________.

P(1.09 < z < 2.04) = P(z < 2.04) p(Z < 1.09) = 0.9793 - .8621 = 0.1172 (answer)