Question

The values of z-score are given.

1a.) Find the area under the normal curve to the right of z = -0.86. Round the answer to four decimal places.

The area under the normal curve to the right of z = -0.86 is ____.

1c.) Find the area under the normal curve between z = -0.32 and z = 0.92. Round the answer to four decimal places.

The area under the normal curve between z = -0.32 and z = 0.92 is ____.

1d.) Find the area under the normal curve outside z = -1.52 to z = -0.47. Round the answer to four decimal places.

The area under the normal curve outside z = -1.52 to z = -0.47 is ____.

Answer 1

Q.1a) P(Z > -0.86) = P(Z < 0.86) = 0.8051

Therefore, the area under the normal curve to the right of z = -0.86 is 0.8051

Q.2a) P(-0.32 < Z < 0.92)

= P(Z < 0.92) - P(Z < -0.32)

= 0.8212 - 0.3745

= 0.4467

Therefore, the area under the normal curve between z = -0.32 and z = 0.92 is 0.4467

Q.3a) P(Z < -1.52) + P(Z > -0.47)

= P(Z < -1.52) + P(Z < 0.47)

= 0.0643 + 0.6808

= 0.7451

Therefore, the area under the normal curve outside z = -1.52 to z = -0.47 is  0.7451