Question

Given that z is a standard normal random variable, find z for each situation (to 2 decimals).

a. The area to the left of z is .9738
b. The area between 0 and z is .4738 ( is positive).
c. The area to the left of z is .8531
d. The area to the right of z is .1251
e. The area to the left of z is .6700
f. The area to the right of z is .3300

Answer 1

a. 1.94

b. 1.94

c. 1.05

d. 1.15

e. 0.44

f. 0.44

Explanation:

z-table is used to calculate the values

a. The area to the left of z is .9738

z= 1.94

b. The area between 0 and z is .4738 ( is positive)

z= 1.94

c. The area to the left of z is .8531

z=1.05

d. The area to the right of z is .1251

z=1.15

e. The area to the left of z is .6700

z=0.44

f. The area to the right of z is .3300

z=0.44