# Standard Normal Distribution

Question 1

Use Appendix Table for Normal Distribution to find area under Standard Normal Distribution curve to the left of z = 0.85

Answer

0.8023

0.6245

0.3524

0.0582

Question 2

Use Appendix Table for Normal Distribution to find area under Standard Normal Distribution curve to the right of z = -1.96

Answer

0.1282

0.5466

0.7365

0.9750

Question 3

Use Appendix Table for Normal Distribution to find area under Standard Normal Distribution curve between z= -1 and z = 1

Answer

0.8246

0.6826

0.4856

0.2446

Question 4

For Normal distribution with mean ? = 400 and standard deviation ? = 100 find probability that x is less than 535: P(x < 535)

Answer

0.1548

0.3466

0.9115

0.7241

Question 5

For Normal distribution with mean ? = 400 and standard deviation ? = 100 find probability that x is greater than 619: P(x > 619)

Answer

0.0143

0.3458

0.5942

0.8124

Question 6

For Normal distribution with mean ? = 400 and standard deviation ? = 100 find probability that x is between 340 and 714: P( 340 < x < 714)

Answer

0.3427

0.5462

0.7249

0.9140

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#### Solution Preview

1. Left of z = 0.85:

0.5000 + 0.3023 = 0.8023

2. Right of z = -1.96:

0.5000 +0.4750 = 0.9750

3. Area between z= -1 and z = 1

0.3413 + 0.3413 = 0.6826

4. Mean = 400 and standard deviation = 100 find ...

#### Solution Summary

This solution shows you a step by step method on dealing with questions involving Standard Normal Distribution