Final answer:
To find the value of z for each situation, we can use the Z-table to locate the corresponding area under the normal curve.
Step-by-step explanation:
To find the value of z for each situation, we can use the Z-table to locate the corresponding area under the normal curve.
(a) The area to the left of z is 0.2743. Using the Z-table, we can find the z-score that corresponds to this area, which is approximately -0.61.
(b) The area between -z and z is 0.9534. This means that the area to the left of z is (1 - 0.9534)/2 = 0.0233. Using the Z-table, we can find the z-score that corresponds to this area, which is approximately -1.98. Therefore, z is -1.98.
(c) The area between -z and z is 0.2052. This means that the area to the left of z is (1 - 0.2052)/2 = 0.3974. Using the Z-table, we can find the z-score that corresponds to this area, which is approximately -0.26. Therefore, z is -0.26.
(d) The area to the left of z is 0.9952. Using the Z-table, we can find the z-score that corresponds to this area, which is approximately 2.57.