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Determine the total area under the standard normal curve in parts (a) through (c) below. (a) Find the area under the normal curve to the left of z 3 plus the area under the normal curve to the right of z 3. The combined area is (Round to four decimal places as needed.)

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Answer #1

The area to be calculated is shown in the following graph in yellow color.

6 4 2 0 2 -4 -6 8 (LON lo pa

The required area is P[ Z<= -3] + P[ Z>= 3 ] = P [ Z<= -3 ] *2 = 0.0027 (due to symmetry of the curve)

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