What is the area between z=0 and z=2.95
meaningless, area of what?
you can play around with Z table stuff at
http://davidmlane.com/hyperstat/z_table.html
To find the area between z=0 and z=2.95, we need to calculate the cumulative probability (area under the curve) between the two z-values.
The area under the standard normal distribution curve represents the probability of a random variable falling within a certain range. In this case, we need to find the cumulative probability from z=0 to z=2.95.
To calculate the cumulative probability, we can use a statistical table or a calculator. Here, I'll explain how to use a statistical table.
1. Look up the z-value 0.00 in the z-table. The cumulative probability at z=0 is 0.5000. This means that 50% of the area under the curve lies to the left of z=0.
2. Look up the z-value 2.95 in the z-table. The cumulative probability at z=2.95 is 0.9986. This means that 99.86% of the area under the curve lies to the left of z=2.95.
3. Subtract the cumulative probability at z=0 from the cumulative probability at z=2.95 to find the area between the two z-values:
0.9986 - 0.5000 = 0.4986
So, the area between z=0 and z=2.95 is approximately 0.4986 (or 49.86% in percentage terms).