Please show ALL your work for full credit! Part I: You do not have to answer in
ID: 3064135 • Letter: P
Question
Please show ALL your work for full credit! Part I: You do not have to answer in complete sentences. 1. Find the area under the standard normal curve to the left of z 1.58. (4 points) Find the area under the standard normal curve to the left of z 2.39. (4 points) 3. Find the area under the standard normal curve between z-1.28 and z 3.19. (4 points) 4. Find the area under the standard normal curve to the right of z 3.23. (4 points) 5. Find the area under the standard normal curve between z 1.79 and z 2.29. (4 points)Explanation / Answer
The area to the left of z score shall be obtained from the standard normal distribution table
1) Area to the left of z value -1.58
= 0.0571
2) Area to the left of z value 2.39
= 0.9916
3) Area between z values -1.28 and 3.19
= P(z < 3.19) - P(z < -1.28)
= 0.9993 - 0.1003
= 0.8990
4) Area to the right of z score 3.23 = 1 - Area to the left of 3.23
= 1 - 0.9994
= 0.0006
5) Area between z = 1.79 and z = 2.29
= P(z < 2.29) - P(z 1.79)
= 0.9890 - 0.9633
= 0.0257
6) Area to the right = 0.9332
Area to the left = 1 - 0.9332
= 0.0668
The value corresponding 0.0668 from standard normal distribution table = -1.5
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