Question

(A) Find the area under the standard normal curve between -0.34 and 1.59:

(B) Find the area under the standard normal curve between -1.5 and 1

(C) Find the area under the standard normal curve that lies to the left of 2.24

(d) Find the area under the standard normal curve that lies to the left of -0.42

(e) Find the area under the standard normal curve that lies to the right of -2.3

(f) Find the area under the standard normal curve that lies to the right of 0.08

Answer 1

Solution :

Using standard normal table,

(A)

P(-0.34 < z < 1.59)

= P(z < 1.59) - P(z < -0.34)

= 0.9441 - 0.3669

= 0.5772

Area = 0.5772

(B)

P(-1.5 < z < 1)

= P(z < 1) - P(z < -1.5)

= 0.8413 - 0.0668

= 0.7745

Area = 0.7745

(C)

P(z < 2.24) = 0.9875

Area = 0.9875

(D)

P(z <-0.42) = 0.3372

Area = 0.3372

(E)

P(z > -2.3) = 1 - P(z < -2.3) = 1 - 0.0107 = 0.9893

Area = 0.9893

(F)

P(z > 0.08) = 1 - P(z < 0.08) = 1 - 0.5319 = 0.4681

Area = 0.4681