Question

Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the left of z = −0.54 is _____

Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area between z = −1.31 and z = 1.97 is ______

Answer 1

1)

Shaded region in the curve below is the area to the left of z = -0.54.

Area to the left of z = -0.54 is

P(z < -0.54) = 0.2946 (From statistical table of negative z values)

The area to the left of z = −0.54 is 0.2946

2)

Shaded region in the curve below is the area between z = −1.31 and z = 1.97

Area between z = −1.31 and z = 1.97 is

P(-1.31 < z < 1.97) = P(z < 1.97) - P(z < -1.31)

= 0.9756 - 0.0951   (From statistical table of z values)

= 0.8805

The area between z = −1.31 and z = 1.97 is 0.8805