Question

Find the probabilities associated with the following z-scores:

a. z=1.25
b. z=-1.25
c. -.67 to -2.12
d. z>.67
e. z<-3.12
f. 1.34 to 2

Answer 1

The probabilities associated with the given z-scores can be calculated using the area under the normal curve. which is approximately 0.07926.

Step-by-step explanation:

The probabilities associated with the given z-scores are as follows:

a. For z = 1.25, the probability is approximately 0.89435.

b. For z = -1.25, the probability is approximately 0.10565.

c. For z = -0.67 to -2.12, the probability is the difference between the areas under the curve for z = -0.67 and z = -2.12, which is approximately 0.09515.

d. For z > 0.67, the probability is the area under the curve to the right of z = 0.67, which is approximately 0.25249.

e. For z < -3.12, the probability is the area under the curve to the left of z = -3.12, which is approximately 0.00092.

f. For z = 1.34 to 2, the probability is the difference between the areas under the curve for z = 1.34 and z = 2, which is approximately 0.07926.