FIND THE AREA UNDER THE NORMAL CURVE Z-SCORES
1. Between 2=-1.25 and 2 = 1.45
2. To the right of 2=-1.47
3. To the left of 2 = -1.99
4- Between > - 2 and 2=-2.38
5. To the left m + 2 =0.5?
6. To the right of 2 = 2.34
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FIND THE AREA UNDER THE NORMAL CURVE Z-SCORES
1. Between 2=-1.25 and 2 = 1.45
2. To the right of 2=-1.47
3. To the left of 2 = -1.99
4- Between > - 2 and 2=-2.38
5. To the left m + 2 =0.5?
6. To the right of 2 = 2.34
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Answer:
To find the area under the normal curve for the given z-scores, we can use a standard normal distribution table or a calculator with a normal distribution function. Here are the solutions for each problem:
Between z=-1.25 and z=1.45:
Using a standard normal distribution table, the area to the left of z=-1.25 is 0.1056, and the area to the left of z=1.45 is 0.9265. Therefore, the area between these two z-scores is:
0.9265 - 0.1056 = 0.8209
To the right of z=-1.47:
Using a standard normal distribution table, the area to the left of z=-1.47 is 0.0708. Therefore, the area to the right of z=-1.47 is:
1 - 0.0708 = 0.9292
To the left of z=-1.99:
Using a standard normal distribution table, the area to the left of z=-1.99 is 0.0239.
Between z=-2 and z=2.38:
Using a standard normal distribution table, the area to the left of z=-2 is 0.0228, and the area to the left of z=2.38 is 0.9914. Therefore, the area between these two z-scores is:
0.9914 - 0.0228 = 0.9686
To the left of z=0.5:
Using a standard normal distribution table, the area to the left of z=0.5 is 0.6915.
To the right of z=2.34:
Using a standard normal distribution table, the area to the left of z=2.34 is 0.9901. Therefore, the area to the right of z=2.34 is:
1 - 0.9901 = 0.0099