Question

For the problems below, find the area under the standard normal distribution curve.

a) P (−.21 < z < .21)

b) P (.03 < z < .175)

c) P (z > −.39)

d) P (z > .49)

e) P (z < 3.13)

f) P (z < −2.91)

g) P (.08 < z < 1.87)

h) P (−1.73 < z < .02)

please show step by step solution along with the bell curve. please solve for problems a-h

Thanks

Answer 1

a) P(-0.21 < Z < 0.21)

= P(Z < 0.21) - P(Z < -0.21)

= 0.5832 - 0.4168

= 0.1664

b) P(0.03 < Z < 0.175)

= P(Z < 0.175) - P(Z < 0.03)

= 0.5695 - 0.5120

= 0.0575

c) P(Z > -0.39)

= 1 - P(Z < -0.39)

= 1 - 0.3483

= 0.6517

d) P(Z > 0.49)

= 1 - P(Z < 0.49)

= 1 - 0.6879

= 0.3121

e) P(Z < 3.13)

= 0.9991

f) P(Z < -2.91)

= 0.0018

g) P(0.08 < Z < 1.87)

= P(Z < 1.87) - P(Z < 0.08)

= 0.9693 - 0.5319

= 0.4374

h) P(-1.73 < Z < 0.02)

= P(Z < 0.02) - P(Z < -1.73)

= 0.5080 - 0.0418

= 0.4662