Question

Find the area under the standard normal curve to the left of

a. z = 0.74
b. z = −2.16
c. z = 1.02
d. z = −0.15

Answer 1

a. z = 0.74
The z-score of 0.74 translates to a percentile of 0.77035. Hence, the area under the standard normal curve to the left of z-score 0.74 is ~0.77.

b. z = -2.16
This z-score translates to a percentile of 0.015386 which is also the numerical value of the area under the curve to the left of the z-score

c. z = 1.02
The percentile equivalent of the z-score above is 0.846. The area is also 0.846.

d. z = -0.15
The percentile equivalent and the area is equal to 0.44.