Question

Find the area under the standard normal curve. Round your answer to four decimal places.

(a) Find the area under the standard normal curve to the right of z=−0.78.

(b) Find the area under the standard normal curve that lies between z=1.26 and z=2.32.

(c) Find the area under the standard normal curve that lies outside the interval between z=−1.93 and z=0.59.

(d) Find the area under the standard normal curve to the left of x=−2.08.

Answer 1

Using  standard normal table,

(a)

P(z < -0.78) = 0.2177

Area = 0.2177

(b)

P(1.26 < z < 2.32)

= P(z < 2.32) - P(z < 1.26)

= 0.0937

Area = 0.0937

(c)

1 - P(-1.93 < z < 0.59)

= 1 - [P(z < 0.59) - P(z < -1.93)]

= 0.3044

Area = 0.3044

(d)

P(z < -2.08) = 0.0188

Area = 0.0188