Question

Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table. Round your answers to 4 decimal places.)

a.P(−1.2 ≤ Z ≤ −0.88)

b.P(0.04 ≤ Z ≤ 1.64)

c.P(−1.56 ≤ Z ≤ 0.19)

d.P(Z > 3.9)

Answer 1

To find the probabilities, use the z-table to locate the area under the normal curve to the left of each z-score.

Step-by-step explanation:

To find the probabilities based on the standard normal variable Z, you can use the z-table to locate the area under the normal curve to the left of each z-score.

1. a. P(-1.2 ≤ Z ≤ -0.88) = P(Z ≤ -0.88) - P(Z ≤ -1.2)
2. b. P(0.04 ≤ Z ≤ 1.64) = P(Z ≤ 1.64) - P(Z ≤ 0.04)
3. c. P(-1.56 ≤ Z ≤ 0.19) = P(Z ≤ 0.19) - P(Z ≤ -1.56)
4. d. P(Z > 3.9) = 1 - P(Z ≤ 3.9)