Question

Find the following: (Round your answer to four decimal places)

(a) the area under the standard normal curve that lies between
z=-0.55 and z=0.4 (b) Z0.10

Answer 1

To find the area under the standard normal curve between z = -0.55 and z = 0.4, subtract the area to the left. Z0.10 is found by locating the z-score with an area of 0.10 to the left.

Step-by-step explanation:

To find the area under the standard normal curve between z = -0.55 and z = 0.4, we need to subtract the area to the left of z = -0.55 from the area to the left of z = 0.4. The table shows that the area to the left of z = -0.55 is 0.2912, and the area to the left of z = 0.4 is 0.6554. Therefore, the area between z = -0.55 and z = 0.4 is 0.6554 - 0.2912 = 0.3642.

To find Z0.10, we need to find the z-score that corresponds to an area of 0.10 to the left of it. The table shows that the area to the left of Z0.10 is 0.5398. Therefore, Z0.10 is approximately -1.2816.