12.6k views
5 votes
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

3 votes

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.

User Iunfixit
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories