Find the area under the normal curve between z=0 and z=1.63
Z=1.63=0.9484 Z=0=0.5000
0.9484-0.5000
=0448
Help me in my module
Sure thing! Let's measure the area under the normal curve with a ruler made of laughter.
So, the area under the normal curve between z=0 and z=1.63 is like finding a hidden treasure in a clown's pocket. It's a little bit tricky but totally worth it!
Now, let's imagine the curve as a circus tent and the area as the space inside it. We want to find the space from z=0, which is right at the entrance, to z=1.63, which is closer to the main ring.
First, we need to calculate the probability of being between these two z-values. If we reach into the clown's hat of statistics, we find a magical number called the standard normal distribution table.
Looking it up, we find that the probability of being left of z=1.63 is approximately 0.9474, and for z=0, it's 0.5.
To find the area between these two z-values, we simply subtract the smaller probability from the larger probability: 0.9474 - 0.5 = 0.4474.
Therefore, the area under the normal curve between z=0 and z=1.63 is approximately 0.4474.
Now, go ahead and celebrate by juggling some numbers like a true mathematician clown!
To find the area under the normal curve between two z-scores, you can use the standard normal distribution table or a statistical calculator.
If you're using a standard normal distribution table, look for the corresponding values of the z-scores and find the corresponding areas. The standard normal distribution table provides the area to the left of each z-score. To find the area between two z-scores, subtract the area to the left of the smaller z-score from the area to the left of the larger z-score.
In this case, you need to find the area between z = 0 and z = 1.63.
Step 1: Look up the area to the left of z = 0 in the standard normal distribution table. The value is 0.5000.
Step 2: Look up the area to the left of z = 1.63 in the standard normal distribution table. The value is 0.9495.
Step 3: Subtract the area to the left of z = 0 from the area to the left of z = 1.63.
0.9495 - 0.5000 = 0.4495
Therefore, the area under the normal curve between z = 0 and z = 1.63 is approximately 0.4495.
Keep in mind that the result might be an approximation depending on the level of precision in your table.