Question

Find the corresponding area between z=0 and each of the following:

a) z=0.96

b) z=1.74

c) z=2.18

d) z=2.69

e) z=3.00

Answer 1

a. $P(Z \leq 0.96)=0.8315$ from the z distribution table

$P(Z \leq 0)=0.5000$

The are between is $0.8315-0.5000=0.3315$

b. $P(Z \leq 1.74)=0.9591$

The area becomes $0.9591-0.5000=0.4591$

c. $P(Z \leq 2.18)=0.9854$

The area becomes $=0.9854-0.500=0.4854$

d. $P(Z\leq 2.69)=0.9964$

The area becomes $=0.9964-0.500=0.4964$

e. $P(Z \leq 3.00)=0.9987$

The area becomes $=0.9987-0.500=0.4987$