Determine the area under the standard normal curve that lies to the left of Z =

Question

Determine the area under the standard normal curve that lies to the left of Z = 1.73, Z = 1 02. Z = -0 87, and Z = -0.74 Click the icon to view a table of areas under the normal curve. The area to the left of Z = 1.73 is 0 9582 (Round to four decimal places as needed.) The area to the left of Z = 1 02 is 0.8461 (Round to four decimal places as needed) The area to the left of Z = - 0 87 is 0 1922 (Round to four decimal places as needed) The area to the left of Z = - 0 74 is (Round to four decimal places as needed)

Explanation / Answer

(a) The area to the left of Z = 1.73 is obtained as follows:

From Table of Area Under Standard Normal Curve: corresponding to Z = 1.73 , area = 0.4582.

Since Z is positive, area to left of Z = 1.73 is 0.5 + 0.4582 = 0.9582.

(b) The area to the left of Z = 1.02 is obtained as follows:

From Table of Area Under Standard Normal Curve, corresponding to Z = 1.02, area = 0.3461.

Since Z is positive, area to the left of Z = 1.02 is 0.5 + 0.3461 = 0.8461

(c) The area to the left of Z = - 0.87 is obtained as follows:

From Table of Area Under Standard Normal Curve, corresponding to Z = 0.87, area = 0.3078.

Since Z is negative, area to the left of Z = - 0.87 is 0.5 - 0.3078 = 0.1922.

(d) The area to the left of Z = - 0.74 is obtained as follows:

From Table of Area Under andard Normal Curve, corresponding to Z = 0.74, area = 0.2704.

Since Z is negative, area to the left of Z = - 0.74 is 0.5 - 0.2704 = 0.2296.

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