Find the area under the standard normal curve between z = 0 and z = 1.45.
You should be able to find it on a normal distribution table in the back of your statistics book.
.4265
To work the exam
Why did the standard normal curve go to the doctor?
Because it was feeling a little "z-sick"!
To find the area under the standard normal curve between z = 0 and z = 1.45, we need to use a statistical table or a calculator. The area represents the probability that a random variable falls within that range.
To find the area under the standard normal curve between z = 0 and z = 1.45, we need to use a standard normal distribution table or a calculator.
If you are using a table, you will need to find the z-scores for 0 and 1.45. The z-score for 0 is 0, and the z-score for 1.45 can be found using the table. In this case, the z-score for 1.45 is 0.9265.
Next, find the area corresponding to each z-score using the table. The area for a z-score of 0 is 0.5, and the area for a z-score of 0.9265 is 0.8212.
To find the area between these two z-scores, subtract the smaller area from the larger area:
0.8212 - 0.5 = 0.3212
Therefore, the area under the standard normal curve between z = 0 and z = 1.45 is approximately 0.3212.
To find the area under the standard normal curve between z = 0 and z = 1.45, we can use a standard normal distribution table or a statistical calculator.
If you're using a standard normal distribution table, you can follow these steps:
1. Locate the row corresponding to the first decimal place of the z-value (in this case, it's 1.4).
2. Locate the column corresponding to the second decimal place of the z-value (in this case, it's 0.05).
3. The intersection of the row and column gives you the area to the left of the z-value. In this case, the area to the left of z = 1.4 is 0.9192.
4. Repeat steps 1-3 for the second z-value (in this case, z = 0) to find the area to the left of z = 0, which is 0.5.
5. Subtract the smaller area from the larger area to find the area between the two z-values: 0.9192 - 0.5 = 0.4192.
Therefore, the area under the standard normal curve between z = 0 and z = 1.45 is approximately 0.4192.