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Find the numerical value of the area under the normal curve that is NOT between -0.22 and 1.79.

a) 0.4512

b) 0.5488

c) 0.8765

d) 0.1235

1 Answer

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Final answer:

To find the area under the normal curve not between -0.22 and 1.79, calculate the areas to the left of z=-0.22 and to the right of z=1.79, and add them together.

Step-by-step explanation:

The student is asking to find the numerical value of the area under the normal curve that is not between -0.22 and 1.79. To do this, we need to use a standard normal probability table or software/calculator with statistical functions to find the areas to the left of z=-0.22 and to the left of z=1.79.

Once these values are obtained, we add the area to the left of z=-0.22 to the area to the right of z=1.79 (which is found by subtracting the area to the left of z=1.79 from 1) to find the total area outside this range. Let's say the area to the left of z=-0.22 is A and the area to the right of z=1.79 is B. Then, the desired area is A + B.

If the areas to the left of z=-0.22 and z=1.79 are found to be, for example, 0.4122 and 0.0366 respectively, then the area outside would be 0.4122 + (1 - 0.9634), which is 0.4122 + 0.0366, equaling 0.4488. However, since this is hypothetical you would need to replace these figures with the actual values you obtain.

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